Welcome, for starters.
And I have to say I hate ***hole previous owners. Cutting a harness, how ghetto can you be? Although, the car could have also been broken into.
That should help a bit. The antenna going on randomly is an issue. If it went up all the time, your antenna power wire is attached to a switched +12V source. On with the radio and it's going on with the amp turn-on wire most likely.
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I'd get those if you don't have them already, and match up the pin-out to the diagram I gave you. I don't think colors will match, as the Z32 wiring doesn't use industry standards. Good luck, hope that helps.