Stay home with him?

Sorry if this seems dumb I’m a ftm so idk. My son is 13mo. This morning he was extremely fussy and wouldn’t really calm down then I took him to his babysitter and After and hour she said she thinks he’s sick because he burped and a lot of milk came up and he felt warm. So I went to pick him up and he was asleep and still felt warm but after I brought him home he was completely fine. Didn’t feel warm, playing just normal. Well just now he pooped and it was like diarrhea. But he’s still been fine. Just not sure if he’d be okay tomorrow at a babysitter or if I should stay home with him and see how he’s doing?