melted esc conectors

I think I will solder wires into the esc and use a separet conecter, and I will probably replace it after the champs.

you might well have blown a mosfet on the board. Is the esc still able to control a motor?

The esc works fine I have tested it.

Another question how are the esc held down to the heat sink, is it glued or somthing.

yeah its glued