What's your question? Ask

This is a floribunda rose. Nice!

The roses have a bad case of rust disease, a fungus. There are treatments. Very important is to clean up all fallen leaves are the disease may overwinter in the soil. Treatment requires persistence - several applications and snuffing out any signs of recurrence. I don't know about the cherry but I've included info on common problems of cherry. It may be leaf spot which is also a fungus. I hope you can identify the problem.
https://www.gardeningknowhow.com/plant-problems/disease/learn-about-plant-rust-disease-and-rust-treatment.htm
https://www.gardeningknowhow.com/edible/fruits/cherry/cherry-tree-diseases.htm

This fun happenstance is what the Brits call a "sport". It is a tiny genetic mutation in that rose bud. Read on: https://ask.extension.org/questions/298953

I confess to being confused by your question. Do you mean you have a grafted rose and want to take a stem cutting? You can do this but the plant may not grow at the same rate as the original. Grafting is done to insure a vigorous root system. Some people think that nowadays it is done to get the rose to grow faster (already developed root system) so plants can get to market more quickly (cheaper). So give it a try but expect the new plant to grow more slowly. The first year after putting out, the rose will likely have little top growth while it focuses on developing root mass. Here is an article on stem cuttings: https://www.gardeningknowhow.com/ornamental/flowers/roses/roses-from-cuttings.htm

It is too soon to give up on your rose. Roses bloom best in cool weather and may stop blooming in excessive heat. Also, their water needs go from one inch weekly to 2 inches in hot/dry//windy weather. Work in rose food as directed on container to give it the nutrients needed to bloom. If it is hot in your area, put down 3 inches of mulch to help keep moisture stay consistently moist and keep roots cool. Lastly, look very closely for evidence of bugs destroying blooms. This link connects to an article on roses not blooming: https://www.gardeningknowhow.com/ornamental/flowers/roses/no-blooms-on-roses.htm

Try