Hi T.,
Oh, goodness, yes, your daughter is experiencing some new sensations in her mouth! I don't think it's a deliberate habit, but one to allieviate the pain of teething.
If it were me, I'd visit a pediatric chiropractor. Sometimes the bones in the skull or jaw can be slightly misaligned (due to the birth process, which reshapes the head, head-banging or falls...it happens to all kids) and cause more aggravation than usual. My 21 month old son visits a ped chiro once a month. He did go through a short few days of grinding his teeth when he was younger, and again a few months later. We were relieved to see that these bouts disappeared after an adjustment. They haven't returned.
As for the binky...our son gave his up about three months ago, all on his own. He waited until he was done getting his teeth (except his two-year molars, which are coming in now). He's seen his pacifier around the house a few times, tries it for a minute and isn't interested any more. We're throwing them away as they are re-discovered. But I held off until he was done with his major (front) teeth, and things worked out on their own. Don't sweat it.