Is my budgie content, happy or maybe even scared when we do this?

I got my male (?) budgie a week ago and I've been taking him everywhere I go. He feels safe on my shoulder and at night, loves to hide inside my hair (lol).

When I first got him, the first two~three days... he was really scared, and didn't let out a peep. When I first brought him home, he flew away at the sight of my hands and it was hard for me to get to him because he runs so fast and flies far for a bird with clipped wings.

I've been slowly showing him that I can be his friend and I think he opened up to me more.

So we do this thing sometimes where I'd be watching a show on my computer and Romi (my budgie) would be sitting on my finger preening and chilling. Then he suddenly looks at me and then I look at him and it's like a romance movie <3 I slowly approach his face with my other index finger and his face becomes all poofy and he cocks his head to the side and closes his eyes. I thought that was so adorable! So I started gently rubbing his cheeks. And as I was observing him closely as I touched his cheeks, he leaned forward and started running his beak all over my nose and lips. It ticked but felt really nice.

And then all of a sudden, it hit me. Is my budgie behaving this way because I'm so big that he's scared? Or do budgies generally like to run their beaks on people?

Also, while doing that, my budgie seems like he's trying to take off a bit of my lips... like... it doesn't hurt but he grabs a big part of my lips and nibbles on it.. which I found really funny. LOL