https://si.com/specials/mmqb-nfl-all-time-draft/Has the rules and the drafters.
Here is the first round. All 300 picks (and the coaches) are on the link.
1 Lawrence Taylor LB New York Giants, 1981–93 Bussert
2 Joe Greene DT Pittsburgh Steelers, 1969–81 Wolf
3 Johnny Unitas QB Baltimore Colts, 1956–73 Gosselin
4 Ray Guy P Oakland Raiders, 1973–81
Los Angeles Raiders, 1982–86 Fouts
5 Anthony Muñoz T Cincinnati Bengals, 1980–92 Turney
6 Jim Brown RB Cleveland Browns, 1957–65 Brandt
7 Reggie White DE Philadelphia Eagles, 1985–92
Green Bay Packers, 1993–99
Carolina Panthers, 2000 McGinn
8 Don Hutson WR Green Bay Packers, 1935–45 Horrigan
9 Tom Brady QB New England Patriots, 2000– King
10 Otto Graham QB Cleveland Browns, 1946–55 Polian
11 Joe Montana QB San Francisco 49ers, 1979–92
Kansas City Chiefs, 1993–94 Wooten
12 John Elway QB Denver Broncos, 1983–98 Accorsi