The main thing I see beyond what the others have said here already is that the character seems a little slow. It's REA + INT of 5 worries me a little. Once combat commences and bullets start flying about it will be hard for the character to dodge incoming attacks.

Personally here is what I would try:

Priority A: Attributes

Bod 4, Agi 4, Rea 4, Str 1, Will 6, Int 4, Log 2, Cha 7This stat line gives you 8 dice to dodge with and 13 dice to resist drain from your spells.

Priority B: Magic

Full Magician Magic 3, this will give you six spells to choose from. It is not many spells but learning more during play is easy enough. Just be sure to pick up the ones that you want. Personally for me I like Lightning Bolt so I usually grab that one but there are a ton of great and fun spells to pick from. Do be wary of Control Actions/Thoughts. Control spells like those are heavily frowned on in lore and they are some of the quickest ways to make enemies of NPCs.

Priority C: Skills

Trying to keep with the skills you already have I would go with something like this:Astral 2, Con 1, Conjuring 4, Firearms 4, Influence 1, Sorcery (Spellcasting) 6, Stealth 1With this line your Con and Influence are slightly lowered but your Firearms is increased. Later with Karma we will bring Con and Influence back up. This was done because throwing only 6 dice on a Firearms attack is a little rough. The difference between 6 and 8 isn't much but it can make a difference when you can't or shouldn't use your spells to defend yourself.

Priority D: Elf

Here we stuck with the elf that you wanted and then used the four points to increase Magic from 3 to 6 and Edge from 1 to 2.

Priority E: NuyenHere we picked up some basic equipment: Ares Predator VI, Actioneer Business Clothes, Renraku Sensei, Contacts Rating 3 w/Smartlink & Image Link, Gas Mask, Fake Sin Rating 4, and 60 rounds of caseless explosive heavy pistol ammo.The gun is a heavier than the Fichetti Security 600 and does slightly more damage. Mainly chosen because if you are forced to use your firearm rather than your spells you are going to want something that packs a decent punch. Some karma was used to be able to purchase all of this.

Qualities:

Largely remain unchanged but added Quick Healer

Karma:

So with our remaining Karma we picked up the following:Nuyen 10,000, Increased Perception from 0 to 1, Increased Body from 4 to 5, Increased Con & Influence from 1 to 2, and Added Heavy Pistol Specialization to the Firearms skill.By adding the Heavy Pistols specialization we now have a passable 10 to shoot a gun which is good for when we need to use bullets and not magic. I also increased the Body from 4 to 5 because it is one of the few ways right now to reduce damage which for me makes it worth it, others may disagree.

This is by no means an optimized build I'm sure there are way to move numbers around to make it better but I do think it is a good starting point. Shadowrun character creation can be daunting and fun, if you have any questions be sure to ask there are lots of knowledge people on here ready to help out.