Jared Odrick on team's new logo and his preferred position.

The Miami Dolphins have had a pretty solid defense the past few seasons, and 2012 was no exception.

Defensive coordinator Kevin Coyle's unit finished seventh in points allowed per game (20.0), 12th in yards allowed (356.8), seventh in sacks (42) and featured the NFL's stingiest red zone defense.

However, the Dolphins softened against the run (4.0 yards per carry allowed), which is a drop off compared to the unit's 3.7 and 3.6 yards per carry average the previous two seasons.

And Miami's secondary was consistently unreliable in 2012, allowing 60 passes of 20-plus yards. Only three teams - the Patriots, Buccaneers and Saints - were worse last season. The Dolphins also gave up 3,974 passing yards, which was the sixth highest total allowed last season.

The unit's shortcomings outline where the Dolphins intend to tighten the screw this offseason.

According to General Manager Jeff Ireland the offseason goals are for Miami's defense to apply more pressure to opposing quarterbacks, and create more turnovers.

DEFENSE (28 players presently signed by the Dolphins)

LDE: Cameron Wake, Derrick Shelby

RDE: Jared Odrick, Olivier Vernon

Breakdown: Wake, a two-time Pro Bowler, is the only proven pass rusher, and the fact he works from the right side means Miami's wasting opportunities to hunt the quarterback on the left. Odrick, who is 300 pounds, is a 3-4 defensive end who helps Miami excel at stopping the run. But the former first-round pick has only contributed 11 sacks in his two healthy seasons. Vernon is a talented athlete, but a player lacking polish. This former Hurricanes standout, who contributed 3.5 sacks last season, needs to be coached up to be counted on. But potential is there. Shelby, an undrafted free agent from 2012, had a strong training camp, earning a roster spot, but disappeared in games.

What now: The Dolphins, which managed 42 sacks (3 per game) last season, finished seventh in the NFL in sack production. But many of those sacks came in bunches, and the defensive line's struggles applying pressure to quarterbacks stressed the secondary, forcing the cornerbacks to cover longer than necessary. The easiest way for Miami to improve the defense is by tightening the screws on the quarterbacks. An aged veteran pass rusher like Dwight Freeney or John Abraham could help, but selecting a 4-3 edge rusher with quick twitch skills - LSU's Sam Montgomery, BYU's Ezekial Ansah, Texas A&M's Damontre Moore, FSU's Tank Carradine - is ideal. However, that position isn't very deep in the 2013 draft so using an early pick on a pass rusher might be necessary.

DT: Paul Soliai, Kheeston Randall

DT: Randy Starks, Vaughn Martin, Chas Alecxih

Breakdown: Soliai and Starks are both Pro Bowl caliber defensive tackles who collectively make Miami's interior line stout against the run. However, they are both approaching 30 and entering the final year of their contracts. Martin was signed to a two-year deal to replace Tony McDaniel, but his ProfootballFocus.com rating is mediocre based on his two season's as a starting defensive end in San Diego's 3-4 scheme. Moving him to a 4-3 defensive tackle could be beneficial. Randall and Alecxih haven't proven much in their one NFL season.

What now:  Unless Miami extends Soliai and Starks the future at this position isn't on solid footing. The Dolphins lack depth, and top end talent on the interior of the defense line unless Odrick in moved inside full-time, which is an option this year or next. However, it would be wise for the Dolphins to use one of the team's 11 draft picks to add another 300-pounder. There are some decent defensive tackles in this draft, and position coach Kacy Rodgers is one of the NFL's best when it comes to refining talented big men.

SLB: Koa Misi, Jason Trusnik, Lee Robinson

MLB: Dannell Ellerbe, Austin Spitler

WLB: Philip Wheeler, Jonathan Freeny, Josh Kaddu

Breakdown: The Dolphins got younger and more athletic swapping out Karlos Dansby and Kevin Burnett for Ellerbe and Wheeler. However, coverage of tight ends and tailbacks could become a concern moving forward because Wheeler is the only linebacker presently on the team who didn't struggle in that area last season. Misi has decent coverage skills, but was abused by tight ends last season. Depth is an issue at this position, and this unit usually impacts special teams.

What now: Misi, a former second-round pick, is entering the final year of his contract, and everyone but Ellerbe and Wheeler are NFL journeymen struggling to hold onto their jobs. Then again, so were Ellerbe and Wheeler last season, which means someone like Kaddu or Freeny can emerge, blossom. But depth is an issue, and one that should be addressed by adding a couple linebackers available late in the draft. Third day prospects like Florida's Jon Bostic, Alabama's Nico Johnson, Florida A&M's Brandon Hepburn, Missouri's Zaviar Gooden and Howard's Keith Pough fit what the Dolphins might be looking for, and could help on special teams.