Intel Core i3-2120 Streaming PC HELP

[RyanPalmerTV]

So I want to stream games. I have a 2nd computer almost built(All is needed is RAM and a case). I was thinking to use the 2nd computer along with my AverMedia Live Gamer HD to stream my gaming PC. BUT,will the Intel Core I3-212 be fast enough to stream 720p 30fps? My internet has a upload of 5 so that is all good for 720p. 
Streaming PC:
I3-2120 dual core w/ hyper threading
4gb 1333mhz RAM
450W PSU
Maybe a Radeon 7770 or GTX 560(might just use iGPU)
320gb 2.5" HDD
No SSD

Gaming PC:
Intel Core I5-4570
Radeon 7770
8gb 1333mhz RAM

750w Modular Corsair PSU
1tb External Game Drive
320gb x 2 Programs and files storage
128gb SAMSUNG SSD

Games I will want to stream: Mainly DayZ,Bf4/3, Minecraft,maybe some CoD,Chivalry MW,some MMO's, GTA V if it comes out for PC. 

[AlwaysFSX]

I stream at 720p 30fps with the same hardware

[RyanPalmerTV]

I stream at 720p 30fps with the same hardware

You mean with the streaming pc only streaming?

[AlwaysFSX]

You mean with the streaming pc only streaming?

Well I game on this computer and use OBS to stream from it. Very little performance drop in the game and I don't drop frames streaming either. Could probably do better if my upload didn't suck... Specs are in my signature, same as the listed pc up there?