Re: Is it possible to re-laminate a counter?
As Spruce said, you can relaminate a post-formed countertop (square corners). To do this, you will have to rough up the existing laminate with coarse sandpaper (80 grit or coarser) -- easiest with a belt sander. It will create a lot of nasty dust that you won't want to breathe. This is necessary in order to get a good bond with the contact cement.
Once it's roughed up, the rest of the project is done just as if it was a new installation.
To expand on Spruce's comment, if you have a preformed countertop you won't be able to bend the laminate around the curve on the edge and backsplash -- that's why you must replace it.
If the existing laminate is peeling up AT ALL, you'll either want to remove it or cut out the bad part and glue in a piece of laminate as filler before putting the new topsheet on. Or remove the entire countertop, substrate and all and start over afresh. Removing and replacing the substrate won't be easy, because it's probably screwed down from the top before the laminate was applied.
The "Senior Member" designation under my name doesn't mean I know a lot, it just means I talk a lot.I've been a DIYer since I was 12 (thanks, Dad!). I have read several books on various home improvement topics. I do not have any current code books I can refer to. I was an apprentice plumber for two years.