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While all these new aspects are sinking in I will complete my star list with those stars found to be missing.

In addition to κ Cephei and κ Cassiopeiai there are probably more Greek lettered stars which I have not noted down. In myth the constellations Cepheus, Cassiopeia, Andromeda and Perseus belong together and I had better look at all 4 of them.

And I should also add q and p (not p and q) in Carinae to my list. I will begin there:

But according to the star map from Wikipedia the position for q is occupied by o (not omikron, because ο is Xestus in Vela) and there is no letter at all where we expect p to be. It seems the Ship rather than the Oak is causing trouble. However, the Sun()n Ship surely is made of Oak, because the King becomes the Oak when it is time to flower:

I will use Simiram (ω) as a point of reference:

Simiram 10h 13m 44.28s 10h 13.738m 155.7
q 10h 17m 05.01s 10h 17.084m 156.5
p 10h 32m 01.48s 10h 32.025m 160.3
Saad Al Thabib 11 12 13 14 15 (285)
February 21 22 23  24 25 (56)
Ca12-21 Ca12-22 Ca12-23 (339) Ca12-24 Ca12-25
te niu ku hakatu ua te maitaki - kupega tuku hia mai mata hakatuu te vae paupau te niu tutuu
Ancha (337.4) ρ Aquarii (338.2) Sadachbia (338.6), π Aquarii (339.5) ζ Aquarii (340.4), Alrediph (340.5) σ Aquarii (340.9), Homan (341.2)
August 23 24 (236) 25 26 27
An Nathra 7 8 9 (101) 10 11
Simiram, Adhafera, Tania Borealis (154.7), Algieba, q Carinae (155.5) Tania Australis (156.0) μ Hydrae (157.1) no star listed Shir (158.9), p Carinae (159.3)
  Saad Balaa 1 2
26 (422) 27 (58)
Ca12-26 Ca12-27
oho te rima o te niu a hagahaga
υ Aquarii (341.9), η Aquarii (342.1) Situla (342.7)
August 28 (240) 29
An Nathra 12 13 (105)
φ Hydrae (160.3) no star listed

I had no trouble finding q and p Carinae in the star list of Wikipedia, it is only their star map which needs improvement.

It is interesting to find p Carinae (in the foliage of the Oak) at a niu glyph, because also Simiram and q Carinae are at such glyphs.

Clearly these glyphs could refer to nakshatra stars.

Ca12-21 could  allude not only to the December 21 solstice but also to the Tree of reversal, stretching aloft from August 23 where Sun is about to go inside (oho te rima o te niu), become a 'coco':

... But Osiris's evil brother, Set, whose sister-wife was the goddess Nephtys, was mortally jealous both of his virtue and of his fame, and so, stealthily taking the measure of his good brother's body, he caused a beautifully decorated sarcophagus to be fashioned and on a certain occasion in the palace, when all were drinking and making merry, had it brought into the room and jestingly promised to give it to the one whom it should fit exactly. All tried, but, like the glass slipper of Cinderella, it fitted but one; and when Osiris, the last, laid himself within it, immediately a company of seventy-two conspirators with whom Set had contrived his plot dashed forward, nailed the lid upon the sarcophagus, soldered it with molten lead, and flung it into the Nile, down which it floated to the sea ...