I'd recommend adding soil to the bed so that you bury the bottom three or four inches of the rose, then mulch the area. It looks like the bud union is exposed, and by burying it, you'll encourage any dead wood on it to rot away, allowing for new basals to emerge. It may also allow the roses to form roots from the buried cane, which will also mean potential new basals forming over time.
The salmon-orange rose looks like it has a sucker coming up from the rootstock -- the shoot that's out front and starting to arch. I can't tell for sure, but it looks like it's coming from below the bud union. Compare its leaves and prickles to the other canes -- the most common rootstock is 'Dr. Huey', and it has few thorns, grows as a once-blooming climber, and won't have any more flowers this season. If it's a sucker, you'll want to scrape soil away at its base, trace it to its origination, and yank it off. Don't cut it -- this will encourage side shoots of the sucker to emerge.
Good job on clearing out the area!
:-)
~Christopher