Hey look..a 95 owner with lighting issues.
The situation you will most likely find is this.. the headlight switch will look brown and melted at the connector and the connector itself is probably melted.
A little quote from another thread
Originally Posted by BillBoost37
All 95'* we have seen with twilight sentinel have a headlight switch/connector issue.
My experience is one of about 10 in the past 2 years on this club. It has worked out to every 95 that seems to have any light related issues has a melted connector/switch. I would pull the swtich and look it over first as a precaution.
Now..you will find that the headlight switch can be purchased. It will be the same switch as a 1996-99. Looks almost the same as the 95 switch. Big thing to keep in mind is the twilight sentinel ring is different between the two switches. You'll need one from a 96 and if you buy the switch new...ask about the notation on the ring.
Meanwhile.. I'd suggest getting a new length of connector from a junkyard to replace the one you have if it'* melted. Solder and heatshrink tubing is the way to go.