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If a level 7 Wizard whose Arcane Bond is a Wand can he craft a Wand of Scorching Ray that shoots 8 rays if he pays the appropriate price is he bound to 4 rays?

So I was going to return to a home game that I have missed for awhile and the party is now level 12. I decided to make one of my favorite characters, Alice Margatroid, from the Touhou series. Help me out with consistencies here :P

Alice Margatroid
Human Female
Summoner (Broodmaster) 12

20 point buy in

Str 7 Int 10
Dex 10 Wis 10
Con 26(+2,+1,+1,+1,+4) Cha 16

Feats
Human - Craft Wondrous Item
1 - Extra Evolutions
3 - Extra Evolutions
5 - Focused Eidolon
7 - Resilient Eidolon
9 - Vigilant Eidolon
11 - ???

Gear
Intelligent Handy Haversack 2,000
- Telekinetic Charge 3x day 33,600
- Change Shape (Doll!) 10,000
- speech - 500

Lots of scrolls to put in the Haversack which turns into a book for flavor when I use a scroll.

Meta-Magic Wand of Extend

Belt of Con +4

Brood (-4 evolution points for larger brood)

Shanghai

Str 16 Int 7
Dex 12 Wis 10
Con 16 (+1,+2) Cha 11

Evolutions
Fly 2
Natural Armor
Natural Armor
Feats
Shield Proficiency
Shield Focus
Covering Defense
Gear
+3 Tower Shield
Ioun Stone of Con +2

Hourai

Str 24 (+1,+3,+2,+2) Int 7
Dex 12 Wis 10
Con 13 Cha 11

Evolutions
Fly 4
Stat Increase Str
Feats
Power Attack
Furious Focus
Gear
+2 Keen Scimitar (not proficient but Furious Focus cancels out -3 to hit from Power Attack)
Ioun Stone of Str +2

Now I don't know if I should keep the Intelligent Handy Haversack (doll) or switch it out for a Scintillating Robe as that fits her 7 Colored Puppeteer description. Help!