Rosewill R103A Black Steel ATX Mid Tower Computer Case with 350W

Yes. The rosewill 350w is suitable for onboard video and cpus up to 95 watts.

With 16A on the 12V rail, that PSU is mostly a generic 200W unit. And of course you can and should upgrade to a better unit. Btw, there is no point in getting that case if you are anyway going to get a different PSU. You can give us your budget and system details so that we can give some viable alternatives.

Yes you can swap it out and I would as the one that comes with it is super cheap..

well i am building my own system and my buget is 235 dollers and so far thatt case with ddr3 1330mhz 4 gb of ram and 500gb hard drive and a GIGABYTE GA-M68MT motherboard it is at 230 right now if u have somthing better that would be great i already own a 8800gt that i will put in at home thx for ur help

is that psu ok for the 8800gt becasuse the min is 400w but i know thjose are highly over rated becasue my moms 300 watt could run it fine