Its going to sound like a cop out, but it really depends on what happens with the cap and FA.

If you lose TA and Watkins. WR moves up the board. If Quinn is cut and Barwin doesn't resign, edge becomes top priority. Tru leaves via FA, CB is a need.

The Rams potentially need (in no real order)
Edge
CB
NT
ILB (I am still confused how barron fits in a 1 gap 3-4)
backup RB
WR - possibly
OC - possibly
LT - future replacement for Whitworth

I have to think right now the 1st round is set up for an edge rusher or NT (if one of Payne, Wilkins or Vea drops) possibly Billy Price if you want the best OC in the draft. Or CB if the right fit falls into place.
No round 2 pick
3rd round sets up for a CB
4th round edge rusher
5th round - a TA replacement in Myles Gaskin
6th and 7th rounds - OL depth, Lber depth, WR depth, CB depth

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Don't waste your time looking back, you're not going that way. - Ragnar Lothbrok