I agree, despite that extra pawn it does look drawn, can't see any way to make progress.
R+P vs R+2P

Looks drawish to me because even if you play Ke3-d3-c3 and then b3 and Rb2 (Rooks belong behind passed pawns) your King is tied down by paco's King to the vicinity of the e-pawns. I think. You should analyze this yourself no matter what anyone else says for instance if I said White wins could you win from here?
Basic Chess Endings has 4 pp on this exact situation (R+P vs R+2Ps, one of the 2 pawns is passed) and in general you can't win if the extra passed pawn is blocked by either the enemy King or Rook. Rook and Pawn endings occur more often than any other type of endgame, you should at least have one decent "General Purpose" Endgame book because there is a LOT of well-established theory on many different types of R+P endings. A LOT.
http://www.chess.com/blog/NimzoRoy/endgame-books?_domain=old_blog_host&_parent=old_frontend_blog_view

Even though it seems drawish, I think, you should have still tried pushing your b-pawn with the help of your king. Let your opponent show that he knows how to draw this one. No need to draw by repetition at this point.
You may even be able to free up your rook, who could swing to the h-file.
There is still some progress to be made in my opinion.
I also don't share your concern of his king getting next to your pawn. His king should stay in front (somewhere around c6) of the pawns.

I think it may have been worth playing out, but typically, I would say a game with R+P vs R+2 Isolated pawns is typically a draw.
Ok so I got a board and tried playing this out.
The general idea is to get my king to the b pawn and support it, then get the rook behind it while maintaining the d pawn.
1.Ke3 Rb3+
Makes me go accross the back rank. Rook can't move.
2. Ke2 Kf5
3. Kd1 Rb4
Renews attack on d pawn
4. Kc2 Ke4
Threatening Rxd4.
I thought Kc3 might work but then Rc4+ Kb3 Rxd4 winning my d pawn.
If the rooks come off then it's a draw since I get to his promotion square first. Neither of us can promote.
Rooks stay on and it looks drawn.
Another line.
1. Ke3 Kf5
2. Kd3 Rb3+
3. Kc2 Rb4
4. Kc3 Rc4+
Either Kd3 or Kb3 lead to repeats or him getting his king next to my d pawn, can't see a way to win.
Hey guys this is a recently finished game of mine that was drawn by repetition. I think it's a draw because if my king moves away towards the rook his king gets next to my pawn and he can exchange rooks plus a pawn. Any thoughts appreciated.