Am I being selfish and a bad person?

I am new here. I am a 40+ widower and I have a son who is also an adult. He had a girlfriend for a bit and my son isn't around now. He lives in a different city now. I was friends with his girlfriend on Facebook and we have recetly started interacting a lot. She is a nice 19 year old girl and things are now getting weird between us.
1. We went for a few movies as friends.
2. I took her for shopping and bought her mid priced clothes and accessories.
3. I am giving her driving lessons.
4. We frequently hug.

She doesn't mind my age.

I clearly asked her about her relaitonship with my son and she said it wasn't sexual.

Am I a bad person?
Am I being selfish and a bad person?
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