4. It is getting complicated and let us therefore look in another direction. The position of Alphard in the drawing of Hevelius is not exactly below the nose (κ) of Leo, but this is due to his perspective:

In Urania's Mirror much has been crammed into a single card and Alphard is directly below the loop-hole in the body of the Hydra:

There are many stars which delineate the head of Hydra and we ought to retrace our steps to find where they are in the G text.

δ Hydrae 08h 37m 39.41s 08h 37.657m 130.6
σ Hydrae 08h 38m 45.45s 08h 38.758m 130.9
η Hydrae 08h 43m 13.49 08h 43.225m 132.0
ε Hydrae 08h 46m 46.65s 08h 46.778m 132.9
ρ Hydrae 08h 48m 25.98 08h 48.433m 133.4
ζ Hydrae 08h 55m 23.68 08h 55.395m 135.1
ω Hydrae 09h 05m 58.38 09h 05.973m 137.8
Alphard 09h 27m 35.25s 09h 27.588m 143.3
ι Hydrae 09h 39m 51.33 09h 39.856m 146.4
  δ Hydrae 4.14 05° 42′ N 08h 35m 130.6 538.6
Al Minhar al Shujā σ Hydrae 4.45 03° 20′ N 08h 36m 130.9 538.9
  η Hydrae 4.30 03° 24′ N 08h 40m 132.0 540.0
  ε Hydrae 3.38 06° 25′ N 08h 44m 132.9 540.9
  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
  ω Hydrae 4.99 05° 06′ N 09h 03m 137.8 545.8
Alphard α Hydrae 1.99 08° 26′ S 09h 25m 143.3 551.3
Ukdah ι Hydrae 3.90 01° 08′ N 09h 37m 146.4 554.4
Ga2-21 (52) Ga2-22 Ga2-23 Ga2-24 Ga2-25 (*120) Ga2-26
Procyon (115.9) σ Gemini, Pollux (117.2) Azmidiske (118.4)     ω Cancri (121.4)
period 1 : 1 Rogo Mauri Mutu
Ga2-27 (*122) Ga2-28 Ga2-29 (60)
Naos (122.3) Heap of Fuel (123.1) Tegmine (124.3)
Sand is returned to the beach from the sea.
period 1 : 2
Ga3-1 Ga3-2 Ga3-3 Ga3-4 (64) Ga3-5
Al Tarf (125.3) Bright Fire (126.4) ο Ursa Majoris (128.4) θ Cancri (129.2)

They do not appear until in the 2nd henua period:

period 2
Ga3-6 (*130) Ga3-7 Ga3-8 (68) Ga3-9
η Cancri (129.5), π¹ Ursa Majoris, δ Hydrae (130.6) Museida, Al Minhar al Shujā (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), ρ Hydrae (133.4)
period 3:1
Ga3-10 Ga3-11 Ga3-12 Ga3-13 (73)
  ζ Hydrae (135.1) Acubens, Talitha Borealis (136.0) ρ Ursa Majoris (136.6), ν Cancri (137.0), Talitha Australis (137.1)
period 3:2
Ga3-14 Ga3-15 (75) Ga3-16 (*140)
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) Miaplacidus (140.3)
period 4
Ga3-17 (77) Ga3-18 Ga3-19 (*143)
Tureis (140.8) Al Minhar al Asad (142.6) Alphard (143.3)
period 5
Ga3-20 (80) Ga3-21
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)    

Allen:

"σ, 4.6, was Ulug Beg's Al Minhar al Shujā', the Snake's Nose.

τ¹, 4.9, flushed white, and τ², 4.6, lilac, with ι and the 5th magnitude A, form the curve in the neck, Ptolemy's Καμπή; but Kazwini knew them as Ukdah, the Knot."

The Knot (universally a sign for the end of a sequence) is a meaning which I think agrees well with the glyph type haś. My outline glyph type dictionary has this summary:

The haś glyphs are characterized by a bent 'branch', marked with 'feathers' on the outside:

The bent 'branch' represents the path of a luminary, beginning at bottom and moving up and clockwise, ending at the tip.

The 'feathers' are used to indicate calendrical periods. In the example above (Ab4-53) the 10 'feathers' possibly indicate how the 'summer year' is divided into 10 periods (with 18 days in each period).

In another example, below, from the Mamari moon calendar, the path of waxing moon presumably is divided into 15 periods:

16 feather signs around haś in Ga3-22 could indicate e.g. that a complete 472 (= 16 * 29½) day long cycle is ending with this glyph. Or maybe with glyph number 32 * 2 = 64.