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Thank you for including the photos. Your rosebush is fine, so please just relax and let her grow. The new redish foliage coming out is just new growth and a sign of how healthy she is! The bush is just trying to grow and get bigger. The redish foliage will turn green as it ages. With my Austin roses, once the blooms have died back, I just deadhead/remove the spent blooms back to the first cluster of leaves. No need to go to the 7th, 5th or other leaves grouping. Going to the first 5 leaves cluster junction with the cane is just for hybrid tea roses and some grandiflora roses. So don't over prune her or over deadhead her as you will be depriving yourself of many blooms to come. Just keep her well watered and fed, she will reward you soon!

The rosebush looks to be an older bush and the losing of leaves could just be its nature. As some bushes get bigger and some of the foliage shades other parts or intense canes filling in, the leaves are allowed to turn yellow and fall off. If you still enjoy her blooms, I would not dig her out. You might try giving her some Kelp Meal, 1 cup per growing season. Sprinkle around the base of the rosebush, work into the soils lightly and water in well. You could also give her a couple waterings with some water that has both a product called Super Thrive and a Root Stimulator in it. This will help wake up and re-engage some older rose bushes.

Go ahead and prune it back to where the life is. You might check and see if the growth is coming up from below the grafted union or knuckle on the rosebush. If it is coming up way below and is a grafter rosebush, then the upper and desired rose has died. The growth you are seeing in such a case is coming up from the hardy root stock and usually is not desirable. If it is an Own Root rosebush, you will be okay pruning it back and letting the new growth get bigger. Keep fed and watered.

Once the roses have been cut from the bush, even with the preservative mix that is added to the water, they begin to die. In order to keep the roses looking fresh longer, you would need to prune off about 1/2 inch of the canes every 2 to 3 days, 4 at the most. The openings at the cut ends of the canes begin to seal over and thus none of the preservative is taken up into the canes any longer. Some cut roses start the end sealing process faster than others and will start to wilt and die back fairly quickly.

Stem length is one of the characteristics that are bred into some roses. Long-stem roses generally come from hybrid tea roses. Common shrub roses will not have long stems with an elegant single bloom. Here is a rundown on rose types: https://www.gardeningknowhow.com/ornamental/flowers/roses/different-types-of-roses.htm

This article will help you.

https://www.gardeningknowhow.com/ornamental/flowers/roses/yellow-rose-leaves.htm