How do I fix a hole in my RV countertop?

there are kits to repair such damage, or you can get a sheet of new laminate veneer and install over the current one. you would need to pull the sink out and re install.

You can use Bondo on it and then re-paint the top with a Plastic Laminate Paint system.

This is a lot of work, but it's an alternate:

If you can find a sample chip of plastic laminate (at a DIY store) then you can call the factory (Wilsonart, Formica, etc.) to order a large sample, like 5"x7". Then if you can borrow a Dremel tool, buy a couple attachments to cut through the laminate.

If you've ever done a double-cut overlay method for wallpaper seams, it's the same concept. Cut through 2 layers of plastic lam.

Then you'll need to epoxy in the patch and fill in the cracks with matching latex paint (like tiny grout).

The easiest way is to dig out the burn damage and get some tiles and install a hot pad with the tiles. Get some that coordinate with the counter. Should only cost a few dollars and an hours worth of work.

Cut out the hole and install a cutting board. Or a piece of something like a trivet to put hot dishes on. You would need some sort of trim a round them.

I would fill in with bondo and buy the RUSTOLEUM KIT to redo the countertop comes in different colors

I would cut out a design or initial and fill it in with cement that has a color....it would look pretty cool us durable.