I wanna get a gaming computer built?

So I want to get a gaming computer (Desktop) that supports games and more specifically newer games such as Call Of Duty, Battlefield, Minecraft, Garry's Mod, and a bunch of other PC games. My budget I think I'm looking at is around 900-1000$. I have an idea in mind that I should go to Canada Computers and ask them to build me a computer because I have no clue how. I was wondering If I'd be able to get a fast and really reliable desktop for that price. Will a computer with that budget be sufficient or no?

Yea, you will be able to play most new games(watchdogs, battlefield, titanfall) on med. Settings. Not graphic intensive games like league, call of duty will probably max out.

ComponentModel
ProcessorIntel Core i5 3470
MotherboardGigabyte GA-B75M-D3H
RamG.Skill F3-12800CL9S-4GBXL
Graphic CardGigabyte GTX660 2GB GDDR5 OC
HDDWDC 500GB Blue WD5000AAKX
DVD DriveAsus DRW-24B5ST DVD
PSUCorsair GS600
CabinetNZXT Source 210 Elite
MonitorDell ST2220L
MouseLogitech G400
Mouse PadRazer Goliathus Fragged Omega
KeyboardLogitech K200
SpeakersF&D A-520
UPSAPC BR1100VA-IN