92 500sl is wiggin out

Something wild going on.My right parking light(front and rear)will come on sometimes just when it wants to with nobody in the the car or key in the ignition.This has also ran the battery down a couple of times.I charged the battery and it came on again and when i looked in the fuse panel,the fuse for this circuit is very warm but not blown??Shut the hood and the parking light went out but shortly it came on again.I have repaired the cluster for the Dash Flash (thank you Bob Terry)The car also has a problem with power when you push down hard and fast(has no pickup)but does fine when you take it easy.It has 90,000 miles and is really good shape.Any help???? Thanks