103.3 fever

These are the lists of shots my baby got yesterday and now he has a fever of 103.3 (rectum)He is 4 months old. For now I put cold compress on the areas where he had gotten his shots. I’m waiting it out to see if it gets better. I’m not sure if it’s the effects of the shots or it’s the cold he was starting to get or both. Should I go to the hospital or continue to wait it out. I don’t have Tylenol. I was asked already by a friend. I didn’t know he would need Tylenol after his shots. His pediatrician did not say anything. I just have papers of each shot he got and they all say call 911 if high fever. I’m not sure if 103 is a high fever or just a fever.

*I want to also add that he is not crying or screaming and is talking and being playful through his fever.*