Jasmine leaves turning brown
I have a jasmine growing around an arch in my garden. It was planted summer last year and flowered in the summer and again in the winter, holding its flower buds all winter with only a few opening - They are still healthy and some are opening now. I thought it was summer flowering and that the second flush was just luck due to the warm weather. Now I have no idea! I covered the plant with some light fleece as I was unsure how hardy it was, but removed it recently (I'm in East Sussex) as I felt most frost had passed. When I took off the fleece some of the leaf tips had turned brown and now most of the longer stems, so further up the plant had brown. The base seems lush and happy. Should I trim off all the growth to the base including the flowers?
Thank you for any help you can give!