Short answer is yes zombies can swim.
Now to clear everything else up.
Floating: Some people float, some don't. Quite a few dead bodies float. Now one would assume that depending on the type of zombie outbreak there are going to be some zombies, and float and some that sink. Now when it comes to deep oceans we'd see bodies floating at different depths depending on the body.
Islands: Just because zombies can swim doesn't mean they will be able to make it to your island. They will not be able to over power any currents, and most likely won't survive getting to a fairly remote island (assuming they are about the same as a regular corpse). The farther out the island is the better chance it probably has of being safe (assuming the current doesn't drop them off). Even though they can swim, or even walk the ocean isn't going to be an easy trek, and they are going to move even slower than they do on land.
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