Engine fired up first time...but electrical help needed

Electrical problems are always found in the last place you look.
If there was 5 or 10 minutes run time before the melt down you'll need to check the wiring to the starter. Wires melted to a header, a short at or inside the starter/silinoid.
There are threads here where the entire car is being rewired when the actual problem hasn't been found yet.
If "entire car" doesn't include jack it up and check the starter and its wiring, the fault may still exist. Good luck to all.