There is no cold water going into my washer and won't rinse it out as well, I already checked all the hoses and they are not plugged up and the cold water seems to be running fine

Sounds like you have a defective water solenoid valve. That's the electric valve (in the washer) that opens and closes the hot and cold water lines. Time to call a repairman.

Any idea how much that would run me, or is it cheaper to buy a new one