Talked with my son (another poster) and we agreed that considering that the Rams are likely to run more 2 TE sets than in the past, then they will probably want 4 TEs on the roster, and keep 5 WRs. So the Rams don't need any more WRs but they do need another TE for depth, and possibly for replacing Everett after this season.
Further, the Rams are neck deep in OTs right now, and the lack of picking up any OTs in their first 4 picks tells me that they don't want any more. However, OG/C is another matter. With Allen injured and Blythe on a 1 year deal, I can easily see the Rams go for a pure C or a pure OG (no OT converts).
Therefore my guess is that we'll see the Rams go TE and IOL on at least 2 of their remaining picks. Who that might be I imagine Deadpool would know best. And of course those drafting before us will have a big say in that.