Wasn't the shareware version fully featured, such that only the key was necessary?
However, I believe the first shareware version I had was 1.x (distributed via CD that was packed full of shareware) which was significantly different. I remember mining fuel, which tracks with the above link.
Stars! was one of my very first video game purchases. I remember mailing a money order, and recieving a copy in the mail - I didn't have internet at the time. I'm not sure I even knew the internet existed then, although I would soon after if not.