Well unlike Halloween, the Texas Chainsaw Massacre and the Omen, the original Friday 13th was complete crap so a remake might actually improve it.
The zenith of Friday 13th imho was part 4, which was also total crap but about as good as the series got (the other good one, part 6, was a different kind of film).
I thought the end of part one, where Jason appears, was a lot better than the rest of the film deserved.