it has a AMD athlon II X4 640 processor and 6 gigs of ram im not super smart with computers sorry if i come across to stupid
Dont sweat it.
Im sure you would be ok upgrading your psu and card based on my experience with an almost identical tower and your mobo specs listing pciex16. I would double check the slot and dimensions before hand by looking in there, but am sure youwill be fine
also get a tape measure and check the length of the case. it should fit a 9" card such as the 560Ti, but youre going to want to be double sure before buying.