Boyfriend is always criticizing my 3 yr old

I have a boyfriend who I have been dating for about a year and 3 year old daughter from a previous relationship. I introduced him to her when she was near turning 3, at the end of last year. I admit my daughter can be a handful and plays very rough at times. He is always critizing me on my ways of parenting. Comments he makes about my daughter have started to bother my a lot. He says things like

-She needs a good spanking

-Let's give her up for adoption(multiple times)

-She does whatever she wants, hit her

And plenty of other things I can't remember right now

I have started to notice he does not like when I bring my daughter on our dates. I am a single mother and I can't always find someone to watch my daughter. He cancels on me sometimes if she has to come and says "see you another day"

I have talked to him about not making comments about my daughter but he still does it. Now I am starting to get a feeling he dislikes her. I made it very clear to him I will always chose my daughter over a man any day. I find it very sad honestly. I agree my daughter can be a handful sometimes but she has grown to care for him very much. She's always hugging him, talking to him, and even cries when he leaves. And for him to feel that way about her doesn't sit right with me. He has said he does not have anything against her but it feels as though I don't put my foot down w her and need to be stricter

I want to know...am I overreacting? What would you do?