I'm a little confused by this.

If I am reading this correctly, you met him a long time ago, reconnected a few months ago and have had two dates?

Since he's old enough to be a doctor, I assume he's somewhat familiar with what a relationship looks like.
Your comments about needing your mom's input makes me think you might be a little younger (?).

It was premature to call you "sweetheart" and "my love". He should know better than to say that just after one date in my opinion.
Don't take his overly affectionate ways too seriously. It might just be the way he is.
I would just relax at this point and not worry about it.