Slowly coax, cuddle, then try feed again. Our baby 4 months old, also like to suck fist whenever drinking milk. Have to coax repeatedly to get her to drink. If baby donest want to drink, don't force, if not baby will cry miserably. When baby is hungry again, baby will cry for milk. Just rmemeber to keep daily records of how many hours your baby last drank milk.
Normal for babies to like to bite fingers. What milk is baby drinking?