Yes that's probably what happened. Those Amphenol connectors under the wrong conditions can create a rather bad connection and overheat with age - it never gets better.
It looks like what appears to be your blower plug, (I'm guessing that's what it is - the violet one), didn't overheat it just got hot from the pump connector melting down next to it.
If it were me and I wanted this thing up now, instead looking for some dollar two ninety eight connector - I wire it straight into the controller wiring and dump the connection.
Otherwise we have these pump cords you just need to call us in the office. What you need is a pump cord, 'amp' style 4 pin.
PS: Your pump could be fried too.... If you put a new plug in there or wire it direct and the wires want to start getting hot or start burning... Then your pump is on the way out and it's time to stop using the spa and get the pump fixed or replaced.
If your looking for something that's new and cheap to replace this system with...
http://spapartsnet.com/p_Spa-Packs_SPAS ... 9_1_1.html