Replace the counter.
I hate to be the stick in the mud here, but what you're doing will be a temporary fix at best. I say this because laminat material comes in sheets, not rolls. It might (and I emphasize might) look okay for a little while, until it starts peeling away or get's scratched up. Counter tops are relatively cheap at any big-box store (home depot, menards, lowes), will last a lot longer, look much better and you'll be happier for it. Use the stuff in a roll to line your closet shelves.