D.C.
Hi H.,
There's a lot of great advice here about other things that could be causing your baby's lack of sleep, so I won't go there. However, if you do these things and narrow the issue down to teething pain, I can tell you that Tylenol has always worked best for fever reduction, but it is the Motrin Infant Drops that work better for pain relief.
The few periods where we've had to turn to medicine (which I try to only turn to on a limited basis), the difference has been like night and day, between Motrin Infant Drops versus Tylenol Infant drops, when our son, Connor, who is now 22 months old, has dealt with teething pain.
I've heard nothing about teething tablets, but I have heard people recommend Orajel for babies. I would caution against using Orajel though, since I've read in multiple sources that giving Orajel is not recommended because it numbs the entire mouth, tongue, throat area, which can cause a baby to suffocate/choke due to the lack of feeling if their tongue happens to fall back and block their breathing.
I H. this helps!
Good luck!
D.