Could my baby have a dairy allergy?

Allyssa

We’ve considered it for about a week now since we’ve noticed he’s always gassy, poops a lot of wet poops, cries and screams for hours, usually after feeding, only calms down when we give him gripe water. He also throws up a bunch pretty much after every bottle.

He’s a month old and drinks both formula and breastmilk.

Today a lady we knew told us the rash on his face closely resembled the one her son had that turned out to be because of a dairy allergy.

He’s seeing the doctor tomorrow and we’ll ask about it but our doctor is very dismissive and rushed so I’m scared he’ll overlook it

The top of his head is a lot worse than the pictures show, he’s got patches of skin peeling