You have a couple of choices. Probably the easiest one is to take one of the doors/drawers to a Home Center and ask someone in either the Building Materials or Home Department. They can show you how to tell. Or, you can ask someone who works with laminates a lot or with wood a lot. They will be able to tell. (This idea is really the same as my first idea except in the 1st idea, you take the door/drawer to someone whereas in the 2nd idea, someone comes to YOU.) It's not that easy to tell over the WEB what kind of door/drawers you have. The grains and how they run have a lot to do with it.
For me, if they're a plastic laminate, I'd replace them. If they're wood, you can go the paint or stain route. If you need more info, do post up.