#1
The tone knob on my Schecter C-1+, which is the coil tap, is a little bit loose and I am asking how to fix this.

It's not anything major I mean the knob still works, but its turns noticeably quicker than the volume knobs. It just isn't as smooth as the volume ones.

It is a little shaky, not too much, but you can easily tell that something is off with it.
#2
So are you talking about the knob that fits on top or the actual pot shaft is playing up?
Jackson DK2M
ESP LTD M-200FM w/Tone Zone + PAF Pro
Ibanez RG7321
Digitech Whammy IV
Digitech GSP1101
Furman M-10 LxE
Peavey 6505
ISP Decimator
#4
Other than tightening up the nut, the only real option is to get a new one. Take it out and give it some WD40 maybe. That'll make it smoother.
Jackson DK2M
ESP LTD M-200FM w/Tone Zone + PAF Pro
Ibanez RG7321
Digitech Whammy IV
Digitech GSP1101
Furman M-10 LxE
Peavey 6505
ISP Decimator