Goose Behavior? Pair who don't seem bonded.?

I got a pair of geese about a year ago. A few months later, the male stuck his head through the fence of the dog pen and our husky grabbed him and killed him. I wasn't sure what to do for the female who was left, so we got a different male who was a bit younger. Well, they're both adults now, but they don't seem to have bonded. For about a month, I've been noticing the female hanging around our vehicles ALL the time. I just realized that she's staring at her reflection. Is it possible that she thinks her reflection is her mate? Her first mate looked exactly like her, but the newer one is all gray instead of gray and white like her. I think she's very fixated on her reflection and stands there staring at it all day. I'm not sure what mating in geese looks like, but a couple times, I've seen them grab ahold of each other's feathers on the lower back and circle around. Also, the female seems to be bonded with my husband, and the male with me. He can pet her and she's happy to see him, but frequently attacks me. The male doesn't attack my husband, but he can't pet him like I can. Are we interfering in their relationship? lol Any suggestions would be appreciated.