Your best bet is to rebuild
it using new laminite sheeting from Home Depot. The cost wouldn't be to bad, but the work involved might be.
In order to do it right, you would need to get the old top, with the old laminite out. That meens removing the sink, faucet, trim, and then top that is probably glued in well. During the removal
you can expect to destroy some of the structure, which means you will need to rebuild
that also. Once everything is out, you might get away as easy as simply gluing new laminite to old top, then using a small trim router, cut the new top to fit. It sound hard but it is easy, you may need to google
making a laminate top. It also requires a few tools that you may not have. Home Depot also has those, and may have them to rent.