273 won't start regularly

I put in a new coil and replaced all the spark plugs. It has been starting well all day, and with the new coil and plugs, it starts quicker than it ever has since I got it this summer. It used to turn over for a second or two before it would fire, but now it is instantaneous. Also, I checked the spark with the new coil and plugs and it seems a bit stronger.

I don't have an electric fuel pump, but it seems that I always had fuel flowing into the carburetor, so I'm thinking it is doing OK.

I don't know how old the points and condenser are, since I just got the car recently, but I think I now have a project for next weekend- maybe putting in an electric ignition conversion or at least replacing the points and condenser. Thanks!

Should I be concerned about the amount of play in the rotor? I think the tip of the rotor moves about the distance of the width of the tip when I push it left and right. It was shown in the pictures in one of my previous posts.

I'd like to thank everyone that has given me suggestions and input so far.