Three and four-handed cribbage

I have a few questions about three and four-handed cribbage.

How is scoring done when playing a match? Simply the winner gets one point and then new game starts? What if one player is skunked? Or do the remaining players continue playing?

In four-handed version, what is more common - 2 teams or 4 individuals? There aren't as many 4-way cribbage boards available for sale...