I think that it’s necessary to note that it is especially important to allow your body to recover from the exercises that you do. Typically a good schedule is one day on and one day off. You could do a walk on your day off. Not a fast one but a stroll just to get the blood flowing.
You should also do some stretching. You want to make sure that the muscles do not tighten up and end up causing more back pain and problems.
And on the days that you do your workout, think about how you feel during the workout. Start warm. Perhaps you can do your walk or cardio first. As long as that doesn’t tire you out too much. I start with 10 minutes on the elliptical.
If you back gets tight as you exercise, then you should put a stretch in before the next exercise. Balance between doing the exercises and doing the stretches. And make sure you end with stretches.
I also ice for 10 minutes. It may take you a bit longer to do your workout but it’s worth it. Later you may find that you don’t need to do as many stretches. As the muscles get more conditioned they will be less likely to tighten up so much.