If that's just for gaming, then:-
the i7-3770 is overkill, an i5-3550/3570 is more than powerful enough but if that's what you want, go for it
if you can, get 1600MHz RAM
Norton? dump it, I cannot possibly recommend it, even though I have heard positive reports about it recently. You're better with ESET NOD32 or Kaspersky
the HD7570 is underpowered, you should look to a HD7770 as a minimum
Wireless LAN card? unless you actually need it, bin it.
Wireless keyboard and mouse, replace with wired equivalents or better
Have you considered speccing up and building one yourself. That way you will get exactly the hardware you want, the enjoyment of building your own rig and a much easier rig to upgrade further down the line.