Prior to Jesse Puljujärvi and Mikhail Sergachev, Lawton was the only NHL player to ever wear the number 98, which he chose during his rookie season but changed to number 8 after two seasons owing to unwelcome comparisons to Wayne Gretzky's number 99. Lawton set a mark for the North Stars franchise for fastest two goals scored by a rookie, at 19 seconds, in 1983. After five seasons with Minnesota, Lawton had not scored more than 44 points in any season, and the North Stars apparently washed their hands of him, attempting to assign him to their affiliate in Kalamazoo, Michigan. When Lawton refused to report, the North Stars traded him to the New York Rangers in October 1988. Halfway through the 1988–89 NHL season, the Rangers traded him again, to Hartford, and Lawton would go on to play in eight different cities over the next four years. Lawton would later say that being moved around as often as he was, was a factor in his performance over the years, and an aspect of the game that he never enjoyed.