Good plan - one tweak is to use an A/B rotation and progress the movement not the reps: incline push-ups → floor push-ups → feet-elevated; bodyweight squats → split squats; glute bridge → single-leg bridge; plank → side plank or shoulder taps. Warm up with 3–5 minutes of easy movement, then add two light practice sets of your first exercise to groove form and spare the joints. When you can hit the top of your rep range two sessions in a row while finishing with 1–2 reps in reserve, bump the variation or add a small set before chasing more reps. Rest 60–90 seconds between sets and keep the tempo controlled.
Adding one thing - Solid plan. For the first month go every other day, keep weeks 1–2 at 1 min jog/2 min walk, week 3 at 2/2, week 4 at 2/1, and don’t increase total running time more than about 10% per week. Keep your stride short with quick, light steps to spare your knees, pick fresh shoes that fit well with enough cushion, and finish with 5 minutes easy walking plus a couple sets of calf raises and glute bridges to build durability. Normal soreness is fine; back off if pain changes your gait or lingers into the next day.