If the ESCs survived the mellting of the wire to the motors, there is nothing wrong with the ESCs other than that they can probably handle a lot more current than they need to. The wire needs to be heavier, or it will act as a fuse (which is a bit of weak wire that melts when you pass too much current through it). If running two motors in parallel off one ESC, each motor needs its own fuse. Otherwise, a fuse is only really needed between the battery and ESC. Fuses are not really there to protect what they are feeding, they are there to protect what is supplying them, and, by preventing fires, what is surrounding them. Most ESCs today incorporate some form of current limiting, so don't need any fusing between themselves and a single motor, but a high rated ESC might well be capable of supplying enough current to do damage in a fault situation.
If the motors got fried, and the system is running on the same voltage, there is something severely wrong with the mechanical setup causing the motors to stall, or go into a near stall condition when they will pull a lot more current.