Responses
The Hero is the ML, yes!
Did he want to run into Bell in the woods? Eh. Not exactly? More like, small village getting all up in his business, want some air...plus at this point, he's a little concerned about where Bell sleeps? The village doesn't have inns, is someone lending their house or is she sleeping out in the open, is that safe...etcetera. He's the responsible type.
As for his personality...you don't have to be a reincarnator to be aloof, you know. Some people just aren't social, or talkative, or very expressive. That's just his personality. Born with it! (Both times.)

This is really cute but also has a very interesting world building aspect to it as well. Is the hero her ml? I really can't tell. I kind of hope he is. His smile was too much, I see why she chases him. Was he actually hoping to run into her in the woods that night and village daughter got in the way?! Is his aloof personality because he's a reincarnator too? Oi, I have so many questions! Hope updates continue regularly