Well, if your GM allows the Drake flight ability in their game, that's their call. Otherwise, by RAW, I'm pretty sure that Flight power is restricted to Drakes.
As for merging Flight into the Athletics Group in Hero Lab; I have no idea because I don't use Hero Lab for Shadowrun (I have it for Pathfinder, but not SR; I'm using Chummer 5 for SR5).
If you have GM permission to allow SURGE III to possess that power and thus the Flight skill, I'd just print the sheet out or make an annotation somewhere about having Flight 5 via Athletics 5.
On the Adept Powers: Well, you did take my suggestions, but apart from Improved Reflexes 3, I didn't really mean to offer those as a "must-have" list so much as an "ala-carte, pick which ones you like" list.
Many of the powers I suggested are tiered, and only really effective with 3 ranks (or more, where available) invested in them.
Stillness for example applies a penalty equal to its rating on search checks using Thermographic Vision (which is incredibly common for drones, and properly equipped corpsec); -3 to enemy searches is much better than -1.
Same deal with Cloak. -3 or -4 on enemy detection spells is much more useful than -1.
The only big exception to this is Combat Sense. While it does get better with more ranks (and the effect is GOOD; more evasion is always welcome) that first rank buys you the essential ability to POTENTIALLY react on Surprise rounds. Normally, if you get ambushed, you're burning Edge or dying.
So, sorry if I was unclear there.
One possible solution down the line (after a run or two) is to invest in a Qi Foci.
-1 Force = 0.25 Power Points
-Remember that a single Qi Foci can only provide ONE ADEPT POWER, even if it had enough power points for multiple powers otherwise. Say you wanted Mystic Armor 3; that would require a Force 6 Qi Foci. Even if you had a Force 7 Qi Foci, it would only provide Mystic Armor 3 and the last Force would go to waste.
-You can get Qi Foci as a Tattoo if you prefer. I like it, since it adds flavor and is kinda hard to misplace or have confiscated.
-Remember that you can SAFELY bond a total amount of Force in Foci up to your Magic rating. After that, you risk becoming addicted to Foci. (which is an EXPENSIVE AS HELL HABIT)
So starting out Force 6 is your safe maximum, giving you 1.5 PP of stuff in Qi Foci.
-You can bond multiple smaller Qi Foci for for splashing into different powers, or improving existing powers. This is what I'd use for minor bonuses like Cloak or Magic Sense. It gives you the opportunity to adapt as necessary, while keeping your more expensive core powers, well, on your core build.
GEAR
I've looked your Gear over now, and it looks pretty solid.