Why do you think you need a 2 STR? Drop it to 1 and raise your WIL to 5, then just spend another 10 BP on raising your LOG to 5 (as is you've only spent 190 on Attributes).
Sorry, that Will is a mistake. I have it 5 on my paper (and I currently installing wine so I can get chummer and things like that don't happen again). As for STR 1 ... my GM would freak out, and to be fair, when I was GMing, I wuld throw such character out ... I'm not saying it's bad per se, but we're not much into it as a group.
I might drop the focus in case I'm the only reflexed character in group. I know the other are not all that optimizing.
Why do you think you need a 3 EDG? Drop it to 2 to free up 10 BP.
That's a thing I'm not sure about. I like Edge, and I thought it is important for character survival. Even now I'm not sure whether I should take the sustaining focus or Edge (the focus is 9 bp) +1. Is is not all that important? I noticed the archetypes have either edge 2 or 5, is there a reason for that?
If you don't want to be a Summoner, why are you trying to be a Summoner? Drop the Conjuring Group, and just take Summoning at 1.
That's ... well.
I wasn't really clear with that, sorry. I want to use spirits (I love fire spirits for some reason ... and I have already prepared a scene where I summon and bind spirit of man that looks like an angel but with colored glass from church windows instead of feathers on his wings), what I meant was that I dont want to use spirits for other things than combat, and don't really talk with nature spirits and stuff, because I don't want to overshadow the Shaman, and talking with every rock
I'll drop the Conjuring group and take Summoning and Binding 2, probably, that will put me 2 dice below the Shaman. I don't want to be better than her in everything. Tha should free 14 bp, which is enough to raise the Influence.
(the shaman has magic 6, power focus 2 and conjuring and spellcasting groups at 3. it's not all that hard to be better. it also shows the general level of optimiations in our group)
If your Shaman has it covered, drop your Assensing to 1.
Actually, with she's INT 3 Assensing 2, so with assensing 3, I'd be better at that.
Raise your Perception and Infiltration with the saved BP from dropping the Conjuring Group.
Why have you only taken 1 Negative Quality? Take the maximum 35 BP in Negative Qualities.
I'll see what I can do. I'm thinking about In Debt, as that would help with some money problems, but the GM didn't tell me what would happen if I pay off the debt. If it just goes away, it's no-brainer, if it makes 2*bp karma disapper, I might not be up to it. I'll need to talk to him about it.
If you do all this, you'll have a respectable Face/Face-melter with room for 11 spells (so add Increase Attribute - CHA). Why would your GM kill you for using your Gear and Spells as they are supposed to be used? And what are you talking about "being fake"?
All right.
The fake is mostly roleplaying thing, average guy who uses spell to appear more charismatic, I know the both other PCs and NPCs would laugh at me

And actually, the above is a 400 BP build, with 25 more BP (though I'd ask to take it as 50 Karma if I was you...), you should be able to have a rockin' character, despite the inefficiencies.
I don't think he's going to give me Karma

Ok, thanks for everything, I'll shuffle things around a bit and get back here.
I'd personally toss on In Debt and grab a 'cycle and 1 Pilot Ground, a pistol, and 2 in pistols-- You can't always afford to be casting, both due to drain and detection. The Sakura Fubuki is actually worth the 2k it costs because you can fire 2 bursts with the same recoil as SA, and they were 4 round bursts. Just toss on Electronic Firing and it's set.(I think you can do that?) Also, you could use a chunk of the BP/Nuyen to grab a weapon focus and a skill to use it. Crippling overspecializing is just as dangerous as ineffectual generalization, so the best course IMO is to specialize then take a smattering of other skills.
In Debt will be a bit of a drain on your Nuyen, but if your runs pay decently you should be able to pay it off soon enough. Also keep in mind that you can have a spirit perform a task for a year and a day for it's Force in karma. I'd invest pretty soon in the game on a Force 6 Spirit defending your "residence of choice from uninvited guests", in other words if you move then the spirit does too. 
Bike! I knew I forgot about something! damn it

I need a bike!
Good idea about the spirit, too, and sakura fubuki is already my favorite gun.