Opening doors is ok thought not always necessary, if you did it too much it would be too much. Pulling out a chair? I Might personally find that a bit ott unless down ironically as a one off, others might feel different though.
Opening a door is polite but only if he gets there first... no need to run a head or anything -lol. Pulling out chairs is weird in my opinion and would make me feel a tad awkward, so would a guy running about the car to open my car door (unless it's raining and I'm in heels then I'd greatly appreciate it). But dating isn't usually a points game so unless that type of behavior is natural to you I wouldn't do any of it for the points-lol.
Opening doors is nice, I like that, but honestly if I reach it first Im gonna be the one to hold it open. Pulling out chairs is cool for like a dinner or something, but if he constantly does it then it would probably become a bit annoying.
I would very much appreciate it. It's nice to know thar Chivlary isn't dead. That's the type of relationship that I hope to find someday. Where you both respect one another to go above & beyond the norm for the other person. Keep it up!