Yeah this stuff is pretty much all standardized. The only case you might have issues is with wireless N. As everything is draft N as that standard has not been finalized. Cabled networks won't have an issue. Wireless will work just not necessarily at N speeds.
"I am wondering will it be fully compatible with my wireless Belkin router (Not sure which specific model it is)"
You shouldn't have any problems with the router.
Though, a question:
Is the router itself located nearby the computer (i.e., within 15-20 feet)? If so, my recommendation is to get an Ethernet connecting cable and "go wired" instead.
If you're not actually moving the computer around (as in a laptop), removing the "wireless factor" is one less thing that can go wrong on you.
Others may disagree, but for "close connections", wired beats wireless hands down.