I'm trying to buy a radiator and some hoses
Does it matter on the name brands?
which one will fit without any problems
I have 04 rsx type s

 

Yes it does matter. Your best bet is OEM. Either new or from a salvage yard. I've had good success with Fluidyne. Had to make my own fan mounts though. I was in a front end collision, it twisted my radiator all around and it didn't even leak a drop. Well made product.
Stay away from carid.com and generic ebay products, they are complete garbage and not worth the headache.