Did you download the manual yet? available from Harmon Kardon on the web.
When you get your Deoxit, do the controls as discussed, then spread the love. Pull the jumpers on the back and clean them, same with the fuses. Use a Q-tip to clean the outside of each of the input connections you are going to use. You get the idea, if electricity is supposed to flow the Deoxit will help.
If you lose the jumpers, you can use standard cable set. The outer part is the ground and is common on the unit, that is why the jumpers are just the metal pins.
Breaking and remaking connections on this gear is recommended maybe annually due to the possible corrosion that can get in the way of the signal. Using the DeOxit will make things a lot better.
Does your unit light up completely? If not, while you are in there squirting DeOxit (let it dry before plugging the unit back in [yes unplug it first before going inside]) look at how to access the bulbs and get some from dwojo here on the boards and put em in.
While you have the cabinet off clean it up and if you want to make it new again there are numerous posts of folks doing just that with speakers and cabinets. Real wood refinishers at work here and a couple folks reveneering cabinets, too.
Looking at the pics you posted on the second page of the linked thread, it appears the words are painted on to the faceplate. If so, be a bit careful cleaning by not wiping as hard over the printing.
Hopefully the Deoxit will cure the missing channel situation, making the rest of the work you decide to do on the unit worthwhile.
Keep us posted.