Looks good, Elek! I like that he isn't too optimized, actually; Loki is the same way.
For the GMs benefit, I'd like to comment on some things:
1. Sweep is awesome

I would personally not allow Kick to be used with other Martial Arts techniques, but I would allow it to be used with called shots as I consider martial art techniques to not be "basic" attacks, while a called shot is "merely" a "basic" attack targeting a specific location or something similar. Also, you've GOT to do a THIS IS SPARTA kick at some point

2. I'd suggest you talk the Addiction rules over with the GM in this case; it's highly subjective how these actually work, and if you're going to be a druggie it'd be better to know up front.
3. I'd say a regular unarmed specialization would apply instead of cyber implants; note that you can actually specialize in Unarmed Combat (Specific Martial Arts Style) in addition to taking the Style at character generation, granting +2 dice to actions using techniques from the style you've specialized in. I would heavily recommend this.
I do have to note that there is a cap on how many styles you can know from character generation of 1, though. This is stated on page 128:
"You can only buy one style at character creation." I think you might have three (Tae Kwan Do, The Cowboy Way, and Wrestling); unfortunately, I don't see a way around this limitation as you've chosen techniques that aren't very common amongst the styles.
Personally, I would recommend dropping the focus on Blast Out Of Hands (let's face it, MMA fighters would have been fighting other unarmed opponents anyway) and keep the Kick and Sweep techniques from either Bartitsu, Capoeira, or Tae Kwon Do, and then take other techniques that support those two moves.
Again, personally I would go for Tae Kwan Do as a technique and with a Specialization of Unarmed Combat (Tae Kwan Do); Counterstrike can be awesome if you manage to get another initiative dice; any time you have initiative 18 or more, you can use the interrupt action to essentially attack 3 times instead of 2, in addition to not getting hit in the first place. With your high Unarmed Attack skill Opposing Force (Block) is a really attractive option as it makes you all that much harder to hit and can be used with Pre-Emptive Block, allowing you to free up some Karma from Agile Defender. Flying kick is also pretty showy and suits your description of the character, and since you do have low initiative Kip-up could be highly useful if you end up going down on the ground at some point.
Tae Kwan Do, therefore, has 5/6 useful techniques to your character concept, more than any other that I can think of.
4. I would say that "Showing Off" could be replaced with "Showmanship", "Theatricals", "Swagger/Posing" or something similar, but that's just me being grammatically pedantic

5. Sounds good to me. Just keep in mind that an Ares Alpha is highly illegal and almost impossible to conceal.
I also noticed you've got both a helmet and a ballistic mask; traditionally, I would not allow these to stack simply because the two pieces overlap and couldn't easily be worn. Up to the GM, but I would only allow it to stack as a single Full helmet, if at all.
6. See 4 above; I would personally go with Pre-Emptive Block and get your character running into combat as soon as possible; not only will you get the charge bonus, but the opponent you are fighting take a negative penalty to shoot you because of running and being in close combat, and all his friends will too.
Essentially, this means that in a turn where you are running (or sprinting), opponents not in close combat with you get -2 from running and -3 from you being in close combat, while you take a -3 to defend for being in melee. However, in exchange you get to use your Unarmed Combat skill +1 for the Opposing Force technique, and +2 for specialization for a total of +9 dice to defend against melee attacks while only using -5 initiative, with a downside of not getting to use this against ranged attacks.
7. You'll have to come up with some sort of distinctive look that sets him apart even in a crowd; the negative quality specifies that he's got to have some sort of visible features that cannot be easily covered up. He could be really big, have some facial scars and/or tattoos that really stand out in a crowd, for instance. Or, his cyberlimbs could be unique enough that they'd be easily recognizable.
This can be a difficult negative quality to incorporate, and as a GM I wouldn't allow anything you can easily cover with clothing.
8. Good with me, I'm not the technomancer and we're unlikely to know that Angel is

Other than that, like I said I really like the character concept. I think Loki and Error has some really complementary skills, with Loki being able to confuse the enemy and mess with ranged attackers while Error bounces from person to person and knocks them down.