Hey Lazarus,
I think the reason for the prolonged spike is you may have over done it with the sources for the ammonia. LR, LS, natural sea water and a dead shrimp may be more than you needed.
Also you may want to take the shrimp out if you haven't already.
The shrimp doesn't need to disolve or rot to start the ammonia cycle. The large amount of ammonia may result in longer time since the bacteria has a lot to convert into nitrites. This also may mean the end product being nitrate will probably be very high and mean a bigger first water change.
Hope this helps answer some of your questions.
Moby