Strange Turn Signal

1996 Ford Mustang GT 128,500 kilometers.

My Left Turn Signal works fine, but for some reason my right turn signal sporatically doesnt work properly. Often, my front right signal won't flash at all, although my rear lights will always signal, albeit at a faster than usual pace. My flasher clicks at a faster speed on right hand turns, but when the signal isn't working properly, the signal will not show on my dash cluster. I've checked the fuses and light itself, and that's not the problem. Also, I find that the problem occurs almost all the time with my nigh lights on, although it is happening more often with my daytime running lights as well.