I may be wrong about Nava, since they dropped him from the 40 man roster last year, but I believe he and Kalish did. As for the starters, If Cook and Morales keep this up, it might be hard to eliminate Beckett, Lester, Buchholz or Doubront. But how many lefty's is too much. Not a bad problem to have.
Frankly, I would not be surprised if they didn't shop Beckett in July. Could clear some payroll!