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Assuming only visible glyphs should be counted and given a parallel with G we can try to arrange the texts together accordingly:

Ka1-1 Ka1-2 Ka1-3 Ka1-4 Ka1-5 Ka1-6
Ga1-1 Ga1-2 Ga1-3 Ga1-4 (*68) Ga1-5 Ga1-6
  Ain, θ¹ Tauri, θ² Tauri (65.7)   Aldebaran (68.2) Theemin (68.5)  
Ka1-7 Ka1-8 Ka1-9 Ka1-10
Ga1-7 Ga1-8 Ga1-9 Ga1-10
      Hassaleh (73.6)
Ka1-11 Ka1-12
Ga1-11 (*75) Ga1-12
Almaaz (74.7), Haedus I (74.8) Haedus II (75.9), ε Leporis (76.0), Cursa (76.4)
*Ka1-17 (13) *Ka1-18 (14) *Ka1-20 (15)
Ga1-13 Ga1-14 Ga1-15
λ Eridani (76.7) μ Leporis (77.6), ĸ Leporis (78.0), Rigel (78.1), Capella (78.4)  
*Ka1-21 (16) *Ka1-22 (17) *Ka1-23 (18) *Ka1-24 (19)
Ga1-16 (*80) Ga1-17 Ga1-18 Ga1-19 (20)
λ Leporis (79.6) Bellatrix, Saif al Jabbar (80.7), Elnath (80.9) Nihal (81.7), Mintaka (82.4)  ε Columbae (82.6), Arneb (83.0), Heka (83.2)

Now we have 19 glyphs in both lines, as if line a1 should be counted as the last period of Sun (among the Mayas the 19th month was the short one at the end of the calendar).

In G it is possible to adjust 19 to 20 by adding Gb8-30 at the very beginning in order to reach the maximum number for counting by Moon (as the Gilbertese said). In K it is possible to adjust 19 to 24 by adding the empty glyph spaces, in order to reach the maximum number for counting Sun hours.

The evident parallels between the texts are ending with a1-10. Then the stories appear to diverge.

Although later Ka1-21--24 seem to correspond to Ga1-17--21:

*Ka1-21 (16) *Ka1-22 (17) *Ka1-23 (18) *Ka1-24 (19)
Ga1-17 Ga1-18 Ga1-19 (20) Ga1-20 (21) Ga1-21
Bellatrix, Saif al Jabbar (80.7), Elnath (80.9) Nihal (81.7), Mintaka (82.4)  ε Columbae (82.6), Arneb (83.0), Heka (83.2) Hatysa (83.5), Alnilam (83.7), Heavenly Gate (84.0) Alnitak, Phakt (Phaet), (84.7)

We have earlier noted how moe in Ga1-20 can be coordinated with Albatain 1, the first day of Atlas and therefore once upon a time the beginning of the high sky (north of the equator).

There are parallels in other rongorongo texts, and the key sequence has 8 glyphs, i.e. it continues at the beginning of line Ka2. Number 8 could have been a Sign for the dark nights before the return of the 'Morning Star' (Sun).

This forces us to focus on the strange sequences from a1-11 to a1-20 (in K) respectively from a1-11 to a1-17 (in G), to see what happens immediately after Hassaleh:

(4)
Ka1-11 Ka1-12 *Ka1-17 (13) *Ka1-18 (14)
Ga1-11 (*75)
Almaaz (74.7), Haedus I (74.8)
'June 4
Pleione 5
Ga1-12 Ga1-13 Ga1-14
Haedus II (75.9), ε Leporis (76.0), Cursa (76.4) λ Eridani (76.7) μ Leporis (77.6), ĸ Leporis (78.0), Rigel (78.1), Capella (78.4)
'5h (76.1) 'June 6 (157) '7
Pleione 6 7 8
(1)
*Ka1-20 (15) *Ka1-21 (16)
Ga1-15 Ga1-16 (*80) Ga1-17
  λ Leporis (79.6) Bellatrix, Saif al Jabbar (80.7), Elnath (80.9)
'June 8 '9 '10
Pleione 9 10 11

The right part of Ka1-21 appears to correspond to Ga1-18. Atariki (the 'King of Shadows') in Ka1-18 could mean Sun has not yet arrived, which agrees with my interpretation of the idea behind the name for the manzil Pleione.

There is only one atariki glyph in G and it is connected with Betelgeuze (where Orion reaches the Milky Way):

Ga1-22 Ga1-23 Ga1-24 (25) Ga1-25 Ga1-26 (*90)
γ Leporis (85.9) Saiph (86.5), ζ Leporis (86.6) Wezn (87.6), δ Leporis (87.7), Betelgeuze (88.3) η Leporis (89.0), Praja-pāti, Menkalinan, Mahashim, and γ Columbae (89.3) η Columbae (89.7), μ Orionis (90.3)
'June 15 '16 '17 (168) '18 '19
Albatain 3 4 5 6 7

168 can be read as 24 weeks.

However, in K there are 2 atariki glyphs. The next comes in Ka2-3, only 8 glyphs later than the first one. The glyph type atariki could refer to Betelgeuze.

Counting glyphs in K we will reach 14 + 8 = 22 at Ka2-3. In G atariki is in position 24 (not counting Gb8-30).

80 days from equinox was the time for λ Leporis to rise heliacally. Given the significance of λ this should be a dark time. In G it evidently is illustrated as a person inside an oval (where his eyes will be of no use of course). In K the figure looks like a great looming tree (with shadows below).