"1) Bought a belkin wireless router as recommended on here but could not get it to work wireless"
Did it work okay when you had it connected to the PC via the ethernet cable?
"2) purchased a wireless adapter for the computer after presuming the computer was not wireless compatible"
The PC probably isn't wireless, so you did the correct thing buying a wireless adapter. Is it a PCI or USB wireless adapter? Post the make and model of the router and the wireless adapter.
"3)lost my temper, lost the whole internet connection. After trying to change the settings on the belkin router."
Don't worry, we've all been there.