heatsink fan

Hi, everyone. I'm relatively new to this whole PC thing, so please kindly guide me on this. So, I buy this pre-built PC in an online shop for a cheap price, after a year the PC suddenly won't turn on, and I'm suspecting either the PSU or the power cable for that, because the last time I turned...

Buying a OEM version of i5 2400 so.. Will a i3 2120 (TDP 65W) stock processor heatsink fan be compatible (in terms of cooling) with i5 2400 (TDP 95W) processor with same LGA 1155 socket?? If not then, probably the reason also?? Thank you.