It means she may be uncomfortable at hugging you or other people. But she is too nice to tell you to back off when you hug her. Or it could be that she is not sure what to do when you hug her. Maybe she's uncomfortable at being touched or hugged.

Lurpy generally implies that someone is awkward and makes unwanted or uncomfortable advances.

It means he wants your permission to hug you before you get uncomfortable or pressured by him. It also means he wants you to feel the same way about how he feels about you in the non-friend zone like into the next step.

it was the WRONG thing to do. you should of hugged her and then you should of told her you feel uncomfortable

This is a strange phenomenon that happens to a lot of people.

On one hand, patting can indicate that the hugger is a little uncomfortable with hugging and doesn't know what to do with his hands or how to remain in the embrace for an extended period of time. On the other hand, back-rubbing can serve to emphasize the emotion of the hugger. It's like underlining a hug. Whatever the sentiment that went into the hug, now it has doubled.