1. What was the name of the NFL coach of the New Orleans Saints
during the playing career of Archie Mannings?

There were several, as Manning played for the Saints from 1971 to 1982 (which he played only one game that year before going to Houston).

1971-72 J.D. Roberts
1973-75 John North
1975 Ernie Hefferle
1976-77 Hank Stram
1978-80 Dick Nolan
1980 Dick Stanfel
1981-82 Bum Phillips