After a stint in the Great White North with -26º ambient (-83º with wind chill), I learned to lube speedometer cable with powered graphite. (Good for lock cylinders, too.)
Most electrical shops sell contact cleaner. Radio Shack used to carry the stuff, but I think an old-school electronics shop would be a better source. Use this on the plug and pins on the cluster.
I think the only lights you might want to replace with a different color are those used to illuminate the gauges. (definitely not the turn signal indicators). I changed the gel glued to the back of the speedometer so that I have a blue high beam indicator lamp.
The speedometer head can be lubricated. A little graphite where the flex cable comes into the head. A drop of mineral oil can be put on the odometer gear.
While the cluster is apart, this is a great time to re-paint the gauge needles. I spray a little day-glow orange into the cap, place an index card between the gauge and the needle, then paint with Q-tip.
Looks like the Ammeter is fried judging by the discoloration of the PC board behind the instrument cluster. If car will start but dies when you let go of the key, the Ammeter is bad. By-pass the gauge (by putting both leads on the same post is one way) and the problem should be cured. I fried one by putting an 80 amp alternator on a gauge that was designed to only handle 40 amps. One night the battery had a low charge, I started the car, the ammeter pegged, and poof went the gauge.