Penn State broke its single-season record with 291 runs scored on Friday.
Warren was told the Jets would select him on Thursday night.
Kimber joined the Nittany Lions from Florida, prior to the 2024 season.
Fleming spent one year at Penn State after playing four years with Ohio State.
Izzard's deal is worth $2,655,000 with $225,000 guaranteed.
Wormley anchored the right guard position for the Nittany Lions last season, starting all 16 games.