It’s no secret that the Patriots struggled on defense last season. They attempted to address their lagging secondary last offseason without much success, and they have taken steps this offseason to secure a solid defensive core by agreeing to a one-year deal with cornerback Aqib Talib, re-signing cornerback Marquice Cole and bringing in John Abraham and Dwight Freeney in for free-agent visits. The Pats continued their search for top defensive players Sunday morning as they held a private workout for former Florida defensive end Earl Okine. Director of player personnel Nick Caserio and head coach Bill Belichick attended the workout. At 6-foot-7 and 290 pounds, Okine was a four-year player at Florida who finished with 27 career tackles and one sack. Okine garnered the defensive MVP award in the 2013 Texas vs. Nation postseason all-star game after posting two sacks and returning a fumble for a touchdown. At Florida’s pro day on March 16, Okine posted a 4.98 40-yard dash, a 33-inch vertical and 25 reps of 225 pounds on the bench press.