Is this girl trying to give me signals?

Ok here's the situation. I work at loss prevention (uniformed security) at a store as my part time job. There is a girl there who has recently started (she's working in clothing)and I'm trying to figure out if she dropping hints. Here are the things that make me wonder:

1) When I am walking the store she will always say hi to me, even if I am several paces away and walking away from her she will call me by name in hi "happy" tone of voice. I have not seen her do this with other employees.

2) When she is away from the other co-workers she tries to have more drawn out conversations with me. She talks to other employees too though. I am currently in a relationship but having some troubles (working really hard at them) She has asked me on a couple of different occasions (out of the blue I might add) how my relationship is going.

3) During our evening meetings she has come up to me and stood close (within a foot) to me on occasion.

4) She has ran up to me on a few occasions (sometimes half way across clothing) asking me what she can do for us (loss prevention). They are usually very general and unimportant questions.

5) I have left he messages on facebook (just general whats up stuff nothing bad or disloyal i do this with other employees too) but she almost never responds. She's never on there much anyway.

I'm only asking this because I need to know if this is an issue I need to address with her because I'm in a relationship and working very hard at making it work. Also our policy does not allow me to hang out with anyone (let alone date) outside of my department. I don't think she is trying to find out any of our "secrets." I just need to know if this is an issue I need to address. Any input would be appreciated.