Ooh, get that weed barrier out of there. Then get all the vines, the ivy, the Virginia creeper or grape out of there. It's choking the rose.
My suggestions on feeding were if you were leaving it in place....thank you Zuzu for clarifying the instructions. A newly moved rose is a tender baby, and in your zone will need protection from wind and cold in addition to regular irrigation all summer long.
Soil amendments such as compost go on top the soil, not mixed in, whether you leave the rose in place or plant in a new hole. I have a few books that still tell people to amend the soil, but roses are different from perennials. They are more like trees in that their roots will reach farther if soil is not amended in just the planting hole. Just as Zuzu says, people who grow in sand have different instructions. Your soil looks like a loamy type, though.
If this is an old garden rose, after you get the dead pruned out, and get the canes cut back to green areas, don't prune any more. Put it in a spot where it can grow as large as it's supposed to. Pruning, or stepping on canes and breaking the ends off may have caused that years' blooms to be lost if it's a once bloomer. In other words, do not prune this rose the way the books tell you to prune a hybrid tea rose. Let it grow a year or so, and then you should know for sure what type rose it is, and then know which way to prune.
Sorry, too much information, I know! What you are undertaking IS a challenge. Remodeling is much more difficult than building new.