Is this 400$ PC good for 1080p gaming?

[Shark217]

Hello friends, after the painful process of earning money for a PC (im only 14) i finnaly got 400$ and decided to build a new PC (upgrade actually but i will replace almost everything) im thinking of re-using the case because there is nothing wrong with it, and re-use my old 160gig baracuda drive so here it is thats the parts that i came with http://pcpartpicker.com/p/pNzfVn any finishing comments or recommendations before i start ordering? Thanks
Just a random graph with old parts:

Single core athlon 64 3000+ 1.8ghz
Asrock ALiveNF6G-VSTA
Adata 512mb+1gb ddr2 800mhz RAM
160 gigs seagate baracuda 7200rpm hdd
xfx gt 210 1g ddr3 64 bit
Unkown powersupply that came with the case (case also unknown model)
Random 1080p monitor gifted by a friend

 

[Col Da Red]

Thats all right but i suggest spending another $30 and getting the overclockable pentium and 4 gb of 1600mhz ram

 

[Shark217]

Thats all right but i suggest spending another $30 and getting the overclockable pentium and 4 gb of 1600mhz ram

Thanks for the comment, i thought of the 3258 but it needs beefier cooler (which i dont have money for nor for the cpu, and i dont want to stress the powersupply because its bad)
and i also thought of 1600mhz but the pentium 3220 only supports max of 1333mhz and there is also no difference in terms of gaming (i think)

 

[Col Da Red]

There is a slight difference in gaming and other applications. Nothing too big but also it doesnt cost any more