It looks like you're new here. If you want to get involved, click one of these buttons!
These are my notes from my last lobster cook for my daughters birthday. They turned out pretty good.
I cut the tops of the shell all the way down the middle and also cut the meat to open it up a little. I melted butter on the stove and added a little salt, juice of one lemon, and garlic powder. I separated the lobster from the sides of the shell so the butter could get down in there. Brush the top sides, etc. with the melted butter.
I cooked the lobster about 6 minutes meat side down and then about 14 minutes shell down. I basted with butter when I turned them and about every 5 minutes or when I needed to check on them.
I had the grill at 400 and the grid just above the felt line. Next time I would like to cook closer to the fire for at least the first six minutes when the meat side is down. After that, maybe put them up on the raised grid or just leave it down and reduce the cook time.