1996 Acura TL Someone please help

Engine Mechanical problem
1996 Acura TL Front Wheel Drive Automatic 210000 miles

I have a major problem and no transportation. My car I posted a question on the compression. My sister was driving car. It got hot and ran hot for a little whi;e. It died on here leaving her stranded. I went to look at it and try to start and it would not start just turn over pretty fast. I originally thought timing belt. I took to mechanic shop and they took it apart to put timing belt on and thit was supposively fine. He said he done a compression check on it and no compression. His OPINOIN was it melted the engine down. The engine will turn over and spin smoothly. Hard for me to believe the rings melted like he claims. I borrowed compression teter and done it on my own and no compression unless I am missing something. The distributor cap melted and seperated from the distrubutor itself about a inchj. The first thing that comes to my mind id timing. How logical is this. How do I test ityI have no transportaation and small child in a big hurry.