So far, what I see:
1) the "cigarette burn" is from the pins making improper contact with the harness. Take it off, clean the pins with some fine grit sandpaper, and put it back on. You *should* replace the connector as well, but for the next little bit (little bit being less than ten hours of on-time) you should be okay for the time being.
I note that there's a switching power supply in there. Have you metered the voltage from it? Make sure it's putting out no more than 5.1 volts, and no less than 4.9.
And, finally, in the picture where your finger is, I believe that wire belongs on 'ground' but I could be wrong.
Edit: I note the -5V screw terminal is up, and I see there appears to be two wires not currently connected. Until you trace which is which (ground or -5V) don't hook either of them up. Perhaps the manual will let you know which color goes to which, I dunno why they are all brown!