Microwave first 3 ingredients in mediumbowl until jam and butter melt, about 20seconds. Stir to blend. Stir lime peel intoglaze. Thread 4 shrimp onto each skewer.DO AHEAD: Glaze and shrimp can be made8 hours ahead.
Cover separately and chill.Prepare barbecue (medium-high heat).
Sprinkle shrimp with sea salt.
Place 3tablespoons glaze in bowl; set aside.
Brushshrimp with some of remaining glaze. Grillshrimp until just opaque in center, brushingoccasionally with glaze, about 2 minutes perside.