The difference of ĀnāpānassatiSutta and KāyagatāsatiSutta

1. It doesn't mean "awareness of body sensations" in both sutta.

   It means "The practitioner should meditate ānāpānassati every time, no when&where is an exception (walking, sitting, standing, lying down, bending etc.)"

   "Awareness of sensations" is virtual, IndriyaSaṅvaraSīla, and concentration meditation, Samādhi.

   However, the Anupassanā meditation of sensations is in Vedanā-Cittā-DhammāNupassanāSaṭipaṭṭhāna of MN Mahāsatipaṭṭhānasutta. This section is about the comprehension of nāmas' origin.

2. Buddha taught only the first 1-4/16 steps (Samatha-meditation part) of ānāpānassati to the practitioner who interested in the beginning of the Ānapānassati-meditation, which was talked in the current conversation at the origin of Sutta. Ma. U. Kāyagatāsatisuttaṃ (body/kāya and sati in this sutta refer to kāya-anupassanā-satipaṭṭhāna):

   "Just now, lord, after the meal, on returning from our alms round, we gathered at the meeting hall when this discussion arose: 'Isn't it amazing, friends! Isn't it astounding! — the extent to which mindfulness immersed in the body, when developed & pursued, is said by the Blessed One who knows, who sees — the worthy one, rightly self-awakened — to be of great fruit & great benefit.' This was the discussion that had come to no conclusion when the Blessed One arrived."

   But Buddha taught the full version of ānāpānassati-meditation to Taruṇa-Vipassaka, the practitioners who had already meditated the first 1-4/16 (Samatha-meditation part) of ānāpānassati in the Buddhist Lent of Sutta. Ma. U. Ānāpānasatisuttaṃ, however, it was the end of that Buddhist Lent when they would go to the next step, the other 5-16/16 (vipassanā-meditation part).

   So Buddha decided to remain at Savatthi for another month, pavāranā saṅgha, to turn those Taruṇa-Vipassakas enlighten Nibbāna easier by the other 5-16/16 (vipassanā-meditation part) between that the Buddhist Lent before they transport to the other country after Buddhist Lent because the transportation will make those Taruṇa-Vipassakas meditation dropping down. Then those practitioners enlightened in time, so Buddha concluded the 16 steps Ānāpānassati-meditation of those practitioners as the main content of Sutta. Ma. U. Ānāpānasatisuttaṃ.

   ...

   "Monks, I am content with this practice. I am content at heart with this practice. So arouse even more intense persistence for the attaining of the as-yet-unattained, the reaching of the as-yet-unreached, the realization of the as-yet-unrealized. I will remain right here at Savatthi [for another month] through the 'White Water-lily' Month, the fourth month of the rains."

   ...

   Now on that occasion — the Uposatha day of the fifteenth, the full-moon night of the White Water-lily Month, the fourth month of the rains — the Blessed One was seated in the open air surrounded by the community of monks. Surveying the silent community of monks (the silent means all practitioners there have already enlightened and sitting with attainment in Phala-Samāpatti), he addressed them:

   ...

   "In this community of monks there are monks who remain devoted to mindfulness of in-&-out breathing.

   ...(full 16 steps of ānāpanassati meditation)...

Sujātā is vessa caste, Brahmaṇa-kula uses mānavaka, Gahapaṭi-mahāsāla uses kuṭumbiya

Sujātā is called "mother of Yasa" in VN Mahāvagga, and her name "Sujātā" is declared in AN Ekakanipāta Etadagga Pāli.
Buddha took her food before he enlightened Nibbāna. After Buddha taught VN Anattalakkhaṇasutta to Pañcavaggī, Buddha taught Anupubbīkathā to Yasa and parents.
This is her profile in AN Ekakanipāta Atthakathā. It shows Sujātā wasn't born in rich Brahmaṇa caste family. She was born in rich Vessa caste family because she was born in Kuṭumbhika-kula.
Brahmaṇa-kula = <personal-name>+maṇava (Brahmaṇa caste family)
Brahmaṇa-mahāsāla-kula = rich Brahmaṇa caste family
Gahapaṭi-mahāsāla = <personal-name>+kuṭumbiya (rich Vessa caste family)
Example from Aṅ.A. (manoratha.1) Etadaggavagga Paṭhamavagga etadaggapadavaṇṇanā:

ito satasahassakappādhike asaṅkhyeyyakappamatthake sāriputto brāhmaṇamahāsālakule nibbatti, nāmena saradamāṇavo nāma ahosi. Mahāmoggallāno gahapatimahāsālakule nibbatti, nāmena sirivaḍḍhakuṭumbiko nāma ahosi.

the craving-practice leads to the origin of feeling

From SN 36.23:

Paṭipadā is placing at the same position of upādāna (clinging), so we can find the answer in the sutta that including clinging, craving, and feeling together, such as the four noble truth in Sutta. See Saṃ. Ma. DhammacakkappavattanaSutta:

"Now this, monks, is the noble truth of stress:1 Birth is stressful, aging is stressful, death is stressful; sorrow, lamentation, pain, distress, & despair are stressful; association with the unbeloved is stressful, separation from the loved is stressful, not getting what is wanted is stressful. In short, the five clinging-aggregates are stressful.
"And this, monks, is the noble truth of the origination of stress: the craving that makes for further becoming — accompanied by passion & delight, relishing now here & now there — i.e., craving for sensual pleasure, craving for becoming, craving for non-becoming.

The feeling is an aggregate, and the craving origins clinging-aggregates, so the practicing of craving origin the feeling aggregate. See Sutta. Ma. U. Mahāpuṇṇamasuttaṃ:

"Monk, these are the five clinging-aggregates, i.e., form as a clinging-aggregate, feeling... perception... fabrications... consciousness as a clinging-aggregate."

Therefore, the last question in SN 36.23 is about the noble eightfold path of the four noble truth:

Q:What’s the origin of feeling? katamā nu kho, bhante, vedanā?
...
A: Feeling originates from contact. Phassasamudayā vedanāsamudayo.
...
Q: What’s the practice that leads to the origin of feeling? katamo vedanāsamudayo, katamā vedanāsamudayagāminī paṭipadā?
...
A: Craving is the practice that leads to the origin of feeling. Taṇhā vedanāsamudayagāminī paṭipadā.
...
Q: What’s the cessation of feeling? Katamo vedanānirodho?
...
A: When contact ceases, feeling ceases. Phassanirodhā vedanānirodho.
...
Q: What’s the practice that leads to the cessation of feeling? katamā vedanānirodhagāminī paṭipadā?
...
A: The practice that leads to the cessation of feelings is simply this
noble eightfold path, that is:
Ayameva ariyo aṭṭhaṅgiko maggo vedanānirodhagāminī paṭipadā,
seyyathidaṃ—
right view, right thought, right speech, right action, right
livelihood, right effort, right mindfulness, and right immersion.
sammādiṭṭhi … pe … sammāsamādhi.
...

The explanation of SN 35.23 Sabba Sutta in ṢaḷāyatanaVagga

0. History base knowledge about wrong and right view: See SarathW's Answer.
Then:

1. Why are these called "The All": the eye & forms, ear & sounds, nose & aromas, tongue & flavors, body & tactile sensations, intellect & ideas?
2. Why someone trying to explain "The All" as being something else would fail?
3. What does "it lies beyond range" mean?

The wrong view has the wrong condition(s). The right view has the right condition(s). The all right condition is the dependent origination, because the conditioner and the conditioned relate each other in balance, nothing left out of the cycle of the condition.
the dependent origination explains "Thus arises this whole mass of dukkha".
Each conditioner of the dependent origination causes the whole conditioned effect. For the example, ... the (Six-)Saḷāyatanas-conditioner causes the whole conditioned Six-Phassa; The Six-Phassa-conditioner cause the conditioned six-vedanā ...
So, if one, who questioned, explains the All, whole, into the dependent origination as the Buddha did, that one is able to explain the whole from the beginning to the end follow to the dependent origination such as the Buddha can explain every view in Sutta. Tī. Sī Brahmajālasuttaṃ.
But if one, who questioned, explains the All, whole, out of the dependent origination, that one would be unable to explain, and furthermore, would feel hard to answer (fail). Why? Because it is beyond that one's abilities, he exactly answers the wrong condition (fail), i.e. God condition the being.
SN KhandhaVagga and SN ṢaḷāyatanaVagga, such as SabbaSutta, come after SN Nidānavagga, the dependent origination because they are the whole elements which cycling in the dependent origination.