Bouncing is most excellent for clearing out ones, lymphatic system, which is vital, extensive and of course runs thru out the entire body. If you are wanting to work out, resistance training is the best. So the weights are a good idea. I would suggest hitting a local gym that has coaches and get some training. (It is included in the day cost.) At least until you get the hang of it and can go it on your own. Walking in the pool (if they have one) for 10 minutes is worth 30 minutes walking or jogging on land because of the constant resistance of the water. Swimming is all around exercise. (After a good workout in the pool getting washed off and dressed can be exhausting, lol.) Make sure you sip water during workouts to keep hydrated. Avoid Gatorade, it causes painful kidney stones. If you are gonna do it all on your own, hit YouTube and get some ideas to try. See what works for you and incorporate a routine, that you will follow. You will know what is working and how much is enough as you go along. And kudos for stepping out to do what works for you!
Enough to do what? I'm not sure that bouncing on a trampoline is that great of an exercise routine. I don't see you getting your heart rate up enough to benefit your body. Any exercise is better then none, but perhaps something more strenuous could be more beneficial.
If you are asking whether a week may be enough to loose weight, then you may be wrong. The time you take at the mini trampolines are not enough to burn more calories each day. However, if you bounce on it for longer periods and increase your rebounds, then you will be able to burn down enough calories in a day.