Does anybody know where I can find a new lock set that will fit my 41' 1989 Egg Convertible. It has the sliding door. I lost the key and must replace with a new one. I couldn't find anyone to cut a key since it couldn't be taken apart.

On my '87 43 SF, I was able to remove the lock cylinder by removing a small screw located on the latch or frame side of the latch assembly.
The lock company I took it to called it a "peanut lock".
We should be of the same vintage so, maybe this could work for you.
Good luck1