Is it normal that i can't memorize people's faces and names quickly?

Yes that is normal.

I've been told it's because I don't care enough about people!

Names are semantic memory that your brain won't commit unless there is some sort of emotional valence. Faces are essentially patterns that your brain has been recognizing since you popped out your mom. You might find Oliver Sacks The Man Who Mistook His Wife for a Hat an interesting read.

I’m OK with faces, but names are another thing.

Yeah, I'd say that's pretty normal.

I'm awful with remembering names, and it's been that way all my life.

Peoples faces is probably the hardest for me to remember for some reason.

Same, and its funny cuz people would say it's racist but I'm white and I can't even tell a lot of white people apart either. At one of my jobs there were these 2 white guy with the same haircut and it took me seeing them both at the same place to realize they were different people. And there is this blonde woman who I'm pretty sure I know her at my work, but she seems way nicer now so I feel like it might be a different person (blondes are the hardest for me to tell apart). I usually make up fake nicknames in my mind for people until I get their real names which takes a couple months.