I think you'll be alright doing the extra leg stuff at home as long as it's just plyo, like jump squats, squat thrusts, pedulum swings, spotty dogs etc, not actual bodyweighted or weighted movements.
You're doing a really solid leg workout at the gym, which I think has enough volume to be done once a week. 12 sets on both major muscle groups is plenty for one week, whether you do it in one workout or two and in total it's 24 sets on the leg muscles, not including the calves.
As for the chest workout, I'd suggest subbing the flyes for dumbell bench press. I know it might seem like a no-no for women, due to the obvious anatomical difference compared to men, but actually it can be done because you can lower the dumbells, until the inner part of both dumbells are very close to the edge of the upper torso, but you wouldn't make contact with the breast area, if your arm positioning is good.
Flyes work the pec minor which are the lateral, (outer), parts of the pec area and have some, but probably not much impact on the medial, (inner), parts of the pec area, compared to bench pressing
Remember to do the pull-downs in front of the face, not behind the neck, in case you cause rotator cuff problems.
As for the bench press, because pressing movements work the triceps, I'd cut the extensions out, because you could do them at home as part of a small muscle workout.
You then don't need a second chest workout, as I feel the chest and back volume you're doing is good for one session a week.
This allows you to do a small muscle workout at home utilising the delts, biceps and triceps.
As a row movement partly stimulates the biceps, you need not do a massive amount on the biceps at home.
You could therefore do a workout consisting of something like 3 sets bicep curls, 3 sets hammer curls and maybe 1 sets of concentration curls, as what's referred to sometimes as a finisher set, so 7 sets a week on biceps, with 6-8 reps.
Replicate the volume on the triceps and do 3 sets extensions, 3 sets kickbacks and 1 set of bodyweighted dips as the finisher, if you've got anything to use for that like a bench or a stable chair.
Then you've got a delt workout, including 4 sets of shrugs and 3 on front raises. I've avoided any pressing movements again to avoid the triceps, so no arnold press or shoulder press.
That small muscle workout could be done once a week.
This means you've got your leg workout and your chest and back workout in the gym, small muscle workout at home, plus the plyo workout at home and 2 cardio sessions in the gym.
So you've got a way of working this around your 4 consecutive days a week in the gym.
Day 1. Legs
Day 2. Cardio, 30 minutes of exerise bike to spare the legs.
Day 3. Chest and back
Day 4. 30 minutes, treadmill, so as not to use any muscles worked the previous day.
Day 5. Day off.
Day 6. Small muscles and leg plyo.
Day 7. Day off.
Does this all make sense and look fesible, as I think this is how you could look to carry on with what you're doing.
You're certainly doing a lot on your legs, so more stuff bodyweighted or weighted, using standard biomechanical movements as opposed to plyometric stuff, could be overdoing it.
You're getting 2 days off there as well, which will help, as I think a 6 day schedule will be a bit much.
Here's a small other thing regarding increasing reps that you might find useful, as it worked for me in the early days, just learning from trial and error.
When you're doing a machine or cable or barbell weight execise, basically any exercises where you're using both hands or legs in tandem, when you've gotten stronger that you can do another 3 reps, you'll find you should be able to add another 2.5kg, (5.5lbs), to the weight and get 3 less reps.
The lower number then represents the base level of reps intended for the new weight, the amount that's 3 more, represents the peak level before switching up again. This should help you remember when to switch up, so you don't keep using a certain amount of weight for too long.
In the case of dumbell exercises, you need to allow a difference of 6 reps from base to peak reps, because when you increase each dumbell by 2.5kg, the weight is actually a combined 5kg, so a longer timeframe is needed before swithing up, or you could for example go from 6-9 reps, add more weight and start struggling to get 3-4 reps instead of 6.
Hopefully everything I've said makes sense, but feel free to use some, all, or possibly none of what I said, to keep tweaking what you're doing.
All in all though you seem to be progressing quite well, so be proud of yourself, keep believing, chin up, be strong and no worries, because i'm proud of you and your radient personality is really infectious as well
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If I might say, perhaps on days you do weight, do your cardio after the weights so you can do stronger and potentially heavier lifts which will build strength up. After 30 minutes of cardio you are starting to get tired so cannot perform the lifts as well as if you were fresh. Strength training relies on glycogen within the muscle and the reserves in the bloodstream.... if you do cardio first you burn a lot of this off leaving less for your muscles to use towards their full potential. 
just FYI