Couple other things I might look at.
Your Burning Karma for Contacts.
Why not Drop 1 Logic for 5 Charisma
Supports the street waif uneducated background more & gives her some more contacts & use in Con/Etq.
The other thing I might do differently is the skills selections.
Automatics is probably the single best "weapon" skill as a "single" skill bar none.
But in your case you have Heavy Weapons for the MMG, As such, for a 2nd skill, I might put serious thought into Pistols instead of Automatics.
It allows for some better concealment options as well as things like Tasers.
Next is the Influence Group.
As a Street Urchin, I'm seeing things like Negotiation & Leadership as a bit outside of her "wheelhouse"
That said, the entire "Stealth" group seems like a good set of options for her.
So maybe invest in Stealth-Group-5 & then keep the Etiquette points to "blend"
I'd probably split the 36/5G into the following.
Group-Stealth-5
Con-1
Etiquette-6 / Street +2
Heavy Weapons-6 / Machine Guns +2
Pistols-6 / Semi Autos +2
Perception-6 / Visual +2
Unarmed Combat-6 / Cyber Implants +2
Burn 11 Karma for
Computer-1
Group-Athletics-1
Increase Con from 1 to 2
15 Contact Points
Fixer 5/2
Smuggler 2/4
St.Doc 1/1
Karma +25
+8 Uneducated
+5 Allergy/Mild
-10 Skills Above
-10 Home Ground
-10 Edge-2
-7 Cash
Finally, and this is just my way of looking at things. I'd start her out with the Hermes Ikon for Comlink.
Its 1/2 the price of the Transys but only 1 grade lower, and it gives you some actual incentive to one day upgrade to the top end Fairlight that is too high for Chargen.