A question about two guys: My guy friend and my martial arts partner who seemed to be flirting with me.?

I have a single guy friend (we'll call him John) and I have kids who are best friends. We take turns driving kids to their same activities. We both made it clear, at his prompting, that we aren't interested in any more because our focus is on the kids. He gives me advice about guys, I'm just coming out of a divorce, and he gives me his opinion on the type of man I should date in the future (no sign that it would be him). We were at our kids martial arts class and my muay thai training partner walked up to me and we talked for about a half hour (about our class, skills, kids etc.). The entire time we're talking, his blue eyes were just sparkling. It really attracted me to him. This whole time my friend was sitting behind us and finally left the gym for twenty minutes to (I think) sit in his car. So I sit down on the couch with my training partner, who we will call Steve. Steve comes over to the couch and flops down in the corner to relax. I was a little taken aback by this because he was sitting there with his legs hanging off, body facing me and still grinning from ear to ear.

John comes back in and (I think) does a double take, probably smiling because we had just been talking about my wanting to find a boyfriend (in the future) who has the same interests as me. I introduce them and they shake hands, and immediately it appears as though John is sizing Steve up , well I saw his eyes go from head to toe on the guy. I know John isn't gay.

So John is standing there kind of grinning at Steve and I as we talk, and then Steve says that he needs get home because he told his son that he was going to be there a half hour ago. So Steve comes over and says that he won't be in class for a week, and he holds out his hand and I go to shake, and he just kind of holds it until our hands slip apart. I know that John was either thinking like "uh huh", this guy is the type of guy for me that we were talking about. Maybe he did think we were flirting. I don't think we were? At least I don't think that I was.

So a couple of questions: from what I've explained do you think that Steve was flirting with me? I wouldn't mind it if he was : ) I have never known if he is married or not, I've never seen a ring and he's never mentioned a wife/girlfriend, whatever. If he did have one I'd totally back away. I'm not a home wrecker.

And, do you think my guy friend John was sizing him up because he wanted to see his competition? Or do guys just automatically do this? I'm just curious as I have always wondered if John does like me but won't admit it.

It was just a strange few moments, but I did kind of like it the attention! : )