3. Let's update our lists. Avior (ε Carinae) is in the 9th hour, among the 16 glyphs between Mutu and the 'cornerstones'. It is rising 1 day after Bright Fire and 14 days before heuheu:

period 1 Rogo Mauri Mutu
Ga2-27 (*122) Ga2-28 Ga2-29 (60)
ω Cancri (121.4) Naos (122.3)  Heap of Fuel (123.1)
Sand is returned to the beach from the sea.
Ga3-1 Ga3-2 Ga3-3 Ga3-4 (64) Ga3-5
Tegmine (124.3) Al Tarf (125.3) Bright Fire (126.4) Avior (127.4) ο Ursa Majoris (128.4)
period 2
Ga3-6 (*130) Ga3-7 Ga3-8 (68) Ga3-9
θ Cancri (129.2), η Cancri (129.5) δ Hydrae, π¹ Ursa Majoris (130.6), Al Minhar al Shujā, Museida (130.9) Beehive (131.4), Ascellus Borealis (131.9), η Hydrae (132.0) Ascellus Australis (132.4), ε Hydrae (132.9), ι Cancri (133.0)
period 3
Ga3-10 (70) Ga3-11 Ga3-12 (*136) Ga3-13
ρ Hydrae (133.4)  ζ Hydrae (135.1) Acubens, Talitha Borealis (136.0) ρ Ursa Majoris (136.6), ν Cancri (137.0)
Ga3-14 Ga3-15 (75) Ga3-16 (*140)
Talitha Australis (137.1), ω Hydrae (137.8), σ¹ Ursa Majoris (138.0)  κ Cancri (138.3), Alsuhail (138.5), σ² Ursa Majoris (138.6), τ (2 stars) Ursa Majoris (138.7), ξ Cancri (138.8)  
period 4
Ga3-17 (*141) Ga3-18 Ga3-19
Miaplacidus (140.3), Tureis (140.8) heuheu Al Minhar al Asad (142.6)
period 5
Ga3-20 (80) Ga3-21
Alphard (143.3)  Alterf (144.4)
period 6
Ga3-22 Ga3-23 Ga3-24 (*148)
 Ukdah (146.4) Ras Elaset Australis (147.6)
period 7
Ga4-1 Ga4-2 Ga4-3 Ga4-4 (*152)
  Ras Elaset Borealis (149.7)    

The 9th hour:

Naos

ζ Puppis 2.21 39° 52′ S 08h 02m 122.3 530.3

Heap of Fuel

μ Cancri 5.30 21° 35′ N 08h 05m 123.1 531.1

Tegmine

ζ Cancri 4.67 17° 39′ N 08h 10m 124.3 532.3

Al Tarf

β Cancri 3.53 09° 11′ N 08h 14m 125.3 533.3

Bright Fire

λ Cancri 5.92 24° 01′ N 08h 18m 126.4 534.4
Avior ε Carinae 1.86 59° 31′ S 08h 22m 127.4 535.4
  ο Ursa Majoris 3.35 60° 43′ N 08h 26m 128.4 536.4
  θ Cancri 5.33 18° 06′ N 08h 29m 129.2 537.2
  η Cancri 5.33 20° 26′ N 08h 30m 129.5 537.5
  δ Hydrae 4.14 05° 42′ N 08h 35m 130.6 538.6
  π¹ Ursa Majoris 5.63 65° 01′ N

Museida

π² Ursa Majoris 4.59 64° 30′ N 08h 36m 130.9 538.9
Al Minhar al Shujā σ Hydrae 4.45 03° 20′ N

Beehive

ε Cancri 6.29 19° 33′ N 08h 38m 131.4 539.4

Ascellus Borealis

γ Cancri 4.66 21° 39′ N 08h 40m 131.9 539.9

 

η Hydrae 4.30 03° 24′ N 08h 40m 132.0 540.0

Ascellus Australis

δ Cancri 3.94 18° 20′ N 08h 42m 132.4 540.4

 

ε Hydrae 3.38 06° 25′ N 08h 44m 132.9 540.9

 

ι Cancri 4.03 28° 46′ N 08h 44m 133.0 541.0

 

ρ Hydrae 4.35 05° 50′ N 08h 46m 133.4 541.4

 

ζ Hydrae 3.11 05° 57′ N 08h 53m 135.1 543.1

Acubens

α Cancri 4.26 12° 03′ N 08h 56m 136.0 544.0

Talitha Borealis

ι Ursa Majoris 3.12 48° 14′ N
  ρ Ursa Majoris 4.74 67° 38′ N 08h 59m 136.6 544.6

The 10th hour:

  ν Cancri 5.45 24° 27′ N 09h 00m 137.0 545.0

Talitha Australis

κ Ursa Majoris 3.57 47° 09′ N 09h 01m 137.1 545.1
  ω Hydrae 4.99 05° 06′ N 09h 03m 137.8 545.8
  σ¹ Ursa Majoris 5.15 66° 52′ N 09h 04m 138.0 546.0
  κ Cancri 5.23 10° 40′ N 09h 05m 138.3 546.3

Alsuhail

λ Velorum 2.23 43° 14′ S 09h 06m 138.5 546.5
  σ² Ursa Majoris 4.80 67° 08′ N 09h 06m 138.6 546.6
  τ (2 stars) Ursa Majoris 4.67 63° 31′ N 09h 07m 138.7 546.7
  ξ Cancri 5.16 22° 03′ N 09h 07m 138.8 546.8

Miaplacidus

β Carinae 1.67 69° 31′ S 09h 13m 140.3 548.3

Tureis

ε Carinae 1.86 59° 03′ S 09h 15m 140.8 548.8
Alphard α Hydrae 1.99 08° 26′ S 09h 25m 143.3 551.3
Alterf λ Leonis 4.32 22° 58′ N 09h 29m 144.4 552.4
Ukdah ι Hydrae 3.90 01° 08′ N 09h 37m 146.4 554.4

Ras Elaset Australis

ε Leonis 2.97 24° 00′ N 09h 43m 147.6 555.6

Ras Elaset Borealis

μ Leonis 3.88 26° 15′ N 09h 50m 149.7 557.7

I have assigned positions for the stars by choosing the glyph which arrives with ordinal number (+64) just above, e.g. glyph number 64 (+64 = 128) for Avior at right ascension 08h 22m - where (8 * 60 + 22) / 1440 * 365¼ = 127.33.