Under HLO, you spent 6, not 11, Karma on the Knowledge Skills:
- It's based on your Logic, not your pre-Karma Logic (Note that freebie points are step Six, Karma is step Four), so you have 2 freebie points, not 1
- Language raising costs the same as an additional Knowledge Skill, so the specialization is 3 karma, not 5.
This gives you 5 karma extra, which I'd definitely spend on Stealth.
I'd replace the Firearms Licenses with Concealed Carry Licenses, to more match the archetypes. If you look at the Archetypes, you'll also note that Smartgun tends to just be rolled into the Concealed Carry License. I'd replace the Smartgun Licenses with Cyberware Licenses (and pray nobody ever looks into your Wired Reflexes in medical detail, realizing they're rating 3 instead of 2, aka Illegal). Also, maybe check into what kind of Licenses your real identity has, in case you ever wander about with that one.
Two fake SINs is a quite nice touch, but to be honest I have no idea if you'd ever need it. Discuss with your GM, because it might just be a massive waste of nuyen. Would be a waste to put yourself into a bigger Debt for no use whatsoever. And maybe you can use a bit of cash to put some enhancements on that Armor Jacket. Or maybe get some boosted Business Clothes.
I have the character at 0.82 Essence, not 0.7 (WR 3.3, DJ 0.08, Ears+Eyes 0.24+0.24, MT 0.66, TP 0.66. 311960/275000 Nuyen, which is 8 (not 9) karma spent on nuyen and 3040 nuyen left. So I got your character at 3040 nuyen and 6 karma left, and 0.12 more essence than you calculated (also 2 Capacity left in your Ears but you can fill that in whenever).
I REALLY recommend using the extra Karma to buy Stealth, so your character gets 2 extra dice there (and can specialize for 5 karma for another 2 dice in many cases). I also strongly suggest discussing that second fake SIN with a DM, because that's not just 4 karma, but under the errata 2k nuyen per month in interest that you have to pay off.
For the rest: Solid Face, nice Athletics (though maybe get a climbing kit soonish), I'd consider a bit of Engineering in the future for B&E, you can handle yourself in a fight.
I attached the charsheet. Note that the current Karma is bugged: HLO didn't subtract 10 Karma for Edge 1->2, which I filed a bugreport for.