It's Punky Brewster
The Bermuda Tangle
S1 E24 Nov 29, 1985 30m
Glomer takes the kids to a deserted tropical island and then loses his powers after getting hit on the head by a coconut. In the interim, Cherie and Allen build a shelter, Margaux looks for a hotel and Punky builds a raft.
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Cast of The Bermuda Tangle