When thinking about the "Red Zone" offense, we need to look at how the Patriots did this year.
For the Red Zone, the Patriots were 8th in the league at 58.11%. (Denver was tops at 72.73%), but it was down from 67.5% from 2012.
So, it's not nearly as bad as people make it out to be, but it does need to be worked on.
I think that solidifying the O-line by replacing Wendell and upgrading Connolly would do wonders for the Red Zone Offense. I also believe that a healthy Thompkins and healthy Dobson also made it better. Could we use a TE? Sure. But it's honestly behind the OC in terms of need. However, you can get good OCs in the 2nd and 3rd and even 5th round.
I am unlike other people. I think that getting someone like Fiedorowicz is a better deal, long term, than getting a ASJ, Amaro, or Ebron. I don't believe that there are any Aaron Hernandez or Jimmy Graham types in this draft. Only Amaro and Ebron have the timed speed. ASJ might have the route running, but does he have the cutting ability to get open or to break through jams at the line. Fiedorowicz has similar speed to ASJ but has the power to break through jams. He's also a great blocker. To me, that makes him and upgrade over Hoomanawanui AND Mulligan. And I beleive he helps both the running and passing game from the blocking standpoint. And I think his height will help in the Red Zone offense as well.