Guy acting confusing? Should I move on?

So there's a guy and I pretty sure we might both like each other but are shy, at the gym. He's a personal trainer so he's always with a client or too busy with texting people on his phone. We sometimes both look at each other, normally i'm the first one to look away unless I turn around and catch him. He also sometimes touches his hair when I'm around/ takes his hat off runs his hand through his hair. He got a few steps close to me once when I was doing karate, I kinda turned my head and looked at him, like I acknowledged him but kept training. A kid that's his client saw me watching him once and made a comment like you know he likes you/ I've heard him saying he's thinking about asking out a girl. He did accept my fb friend request even if we haven't messaged each other yet. Yesterday I caught him staring at me a time or two I glanced his way and looked away, he makes me pretty nervous>

Guy acting confusing? Should I move on?
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