Here's a mock of where I think the players SHOULD go based on their ratings & team needs, assuming no more trades.

Note, this is not a prediction of where they will go, just where I think they should go based on others rankings/ratings

1 KC - Joeckel, OT
2. JAC - Jordan, OLB
3. OAK - Floyd, DT
4. PHI - Fisher, OT
5. DET - Johnson, OT
6. CLE - Milliner, CB
7. ARI - Warmack, OG
8. BUF - Smith, QB
9. NYJ - Lotulelei, DT
10. TEN - Ansah, DE
11. SD - Vaccaro, SS
12. MIA - Werner, DE
13. NYJ - Cooper, OG
14. CAR - Richardson, DT
15. NO - Mingo, OLB
16. STL - Austin, WR
17. PIT - Patterson, WR
18. DAL - Fluker, OT
19 NYG- Rhodes, CB
20. CHI - J. Jones, OLB
21. CIN - Ogletree, ILB
22. STL - S. Williams, DE
23. MIN - Trufant, CB
24. IND - D. Jones, DE
25. MIN - Allen, WR
26. GB - Cyprien, SS
27. HOU - Te'o, ILB
28. DEN - Eifert, TE
29. NE - Carradine, DE
30. ATL - D. Moore, DE
31. SF - Reid, FS
32. BAL - Hopkins, WR

Highest Rated Players Available For Round 2 By Position (overall ranking) I omit 4-3 players as we won't pick them:
QB - Barkley (35), Tyler (54), Glennon (60), Nassib (61)
RB - Lacy (37), Bernard (51), Ball (63)
WR - Woods (42), Hunter (44), Patton (49)
TE - Ertz (46), Escobar (66)
OT - Watson (34), Long (55), Armstead (57)
OG - Warford (47), Pugh (52)
OC - Frederick (59)

DE34 - Hunt (50)
DT34 - Hankins (38), J. Williams (39), J. Jenkins (53)
OLB34 - Okafor (45), Montgomery (56), J. Collins (65)
ILB - A. Brown (28), Minter (33), Greene (58)
SS - Elam (40)
FS - Swearinger (67)
CB - Taylor (36), Banks (43), Wreh-Wilson (68)

I wouldn't mind Hunt in the 2nd round. 5 of the 14 mocks had him going in the 1st round. 2nd choice would be Taylor, followed by Elam, then Swearinger. Brown or Minter wouldn't be bad, although I think DE is more of a need right now.