In regards to the rear window stuck, that will be a dead window reg. They are a common problem in MK3's, but thats just the way it is! Quick search and you will come up with plenty of info
Cruise control, search will bring up some threads.
No idea what the plug is!
Locking system is a pneumatic powered system, and pretty sure it was only standard central locking on Aus del MK3s. In the states they came out with remote, but it can be retrofitted to ours (aftermarket job).
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