Looks good on paper but I don't think you have actually tried the schedule you wrote. Do not use the weighted backpack at this time. Plus, I doubt you can even do 1 pull up with 20 extra pounds. When you get stronger you can use the weight, but start with 2.5-5lbs at first and then move up. I'll help you get started.....
1) Pick an exercise. For this example lets use push ups. This will be your eval day...it counts as an exercise day, but you will only do 1 set of each exercise.
2) Drop and do as many good form push ups as you can in 2min. Once your form starts to fade and your arms start shaking.....stop. Write down how many you accomplished on a sheet of paper.
3) Repeat for each exercise. Give yourself 3-5min of rest between sets on eval day. This will keep you fresh so the results will be true.
4) After you have done all your exercises and written out the results it's time to do some math. Example... take you push up number and multiply by .40 , this will give you 40% of your max. This 40% will be your working set number for the next 2 weeks. So, if you did 50 push ups , your working set will be 20.
5) Do this math for all exercises. And write out the results. You will be left with a GOAL. After a few circuits you will start to drift from the number of reps you set as your goal. This is fine, especially at first.
6) Perform your exercises in a circuit. Rest between 30s-2min between circuits. At first you will need 2min between circuits or you will be jello.
7) Every 2 weeks, have an eval day where you write everything out again. This will keep you progressing. After 1-2 months, pick different exercises and or a different order for your circuits to keep you from adapting.
8) You are going to want to eat like a horse after the circuits. Make sure you have a good post workout meal. You can eat some carbs before the circuit as well. Make sure this carb load is a minimum of 20min from your workout, better 30-45min prior. Simple carbs are ok. Hydrate before, during, and after.
9) Keep a workout log. If your goal was 10 reps on a particular set and you could only do 7 in good form, write it down. This will also SHOW you that you are progressing, however, you WILL feel it anyway.
10) I guarantee this schedule will work if you are motivated enough to try it out. Add some swimming in there if you can. And don't forget to stretch. This will help keep you from injury as well as make you stronger.