Teething at 13 weeks

LaLa
My baby is 13 weeks (had her a week early)! Well she's been drooling so much, crewing on her hand, and looking for comfort from the pacifier. She now has a low grade temp, 99.0. I know that probably isn't considered a temp. Idk what to do bc she seem so irritable. She also have a little diarrhea. I put a cold pacifier in the freezer and gave her a teething ring. We noticed the little white teeth in her gums. 
What teething techniques can anyone suggest?