Teething questions!

My little one is 13 weeks old and as of the last two days we've experienced tons of drooling, gum sucking, constant need for fingers or hand in mouth, waking up screaming in the middle of the night for a soothie (normally sleeps thru night). Yesterday her front gums were red and swollen but today normal. Isn't it too early for teething, especially the two front teeth?