As a senior, Diggs logged 73 tackles, three interceptions and five pass breakups. In his four seasons for Texas, he started 49 games.
The 6-foot-, 230-pound Burton played in all 13 games for Rutgers as a fifth-year senior in 2014.
Wright attributed part of his struggles to late notice from Auburn about what his role on the team would be.
To move into the fourth round, the Lions traded their 2016 third-round pick to the Philadelphia Eagles.
The Lions have one pick each in the fifth, sixth and seventh rounds.
Even before the Lions selected him with the 80th overall pick in the draft, cornerback Alex Carter had some connections to the team.
Carter started 12 games as a junior and recorded 41 tackles, defended 10 passes, intercepted a pass and forced a fumble.
With their first three moves of the NFL draft, the Detroit Lions backed up their talk about plans to improve their run game.
Tomlinson moved to the U.S. from Jamaica when he was 11, after growing up in a crowded home on the Caribbean island.
Abdullah rushed for 1,611 yards and 19 touchdowns on 264 attempts as a senior.