Help! Cardio or Weights?

Yes, it's critical to incorporate strength training while operating in a calorie deficit so you minimize muscle loss. Just start slow (lighter weights) and focus on perfect form so you avoid injury.

There are many great programs you could follow if you need structure. Check your local library for books on strength training.

Otherwise, here's a starting point:

Template A

Squat - 3-5 sets x 5-10 reps - Quad Dominant Movement
Bench - 3-5 sets x 5-10 reps - Horizontal Pressing
Row - 3-5 sets x 5-10 reps - Horizontal Pulling

Template B

Deadlift - 3-5 sets x 5-10 reps - Posterior Chain Dominant Movement (calves, glutes, hamstrings, lower back)
Overhead Press - 3-5 sets x 5-10 reps Vertical Pressing
Chinup - 3-5 sets x 5-10 reps - Vertical Pulling

And that could work well for a long while.

Personally, I like to vary the intensity and volume over the course of a week though. It's a good idea to avoid stagnation and work the muscle using a variety of loading parameters. Alternate: Lift heavy with fewer reps, then lift lighter with more reps.

So that would be the core of the "program" for the time being. Once the core is established you can add in accessory stuff which might make it look something like:

Template A

5-min jog on treadmill
Foam rolling and dynamic mobility stuff
Squat - 3-5 sets of 4-6 reps
Bench - 3-5 sets of 4-6 reps
Row - 3-5 sets of 4-6 reps
Single Leg DB Romanian Deadlifts - 2 sets of 8-12 reps
Bicep Curls - 2 sets of 10-12
Planks - 2-3 sets of 30-60 seconds

Template B

5-min jog on treadmill
Foam rolling and dynamic mobility stuff
Deadlift - 2-4 sets of 8-12 reps
Overhead Press - 2-4 sets of 8-12 reps
Chinup - 2-4 sets of 8-12 reps
Single Leg Squats - 2 sets of 8-12 reps
Tricep Extensions - 2 sets of 10-12 reps
Pallof Presses - 2-3 sets of 10-15 reps

To fit this into a weekly format, you could do something like:

Monday: Template A
Tuesday: Metabolic Work
Wednesday: Template B
Thursday: Metabolic Work
Friday: Template A
Saturday: Metabolic Work
Sunday: Off

The following week everything would be the same, however the resistance training would be BAB instead of ABA.

And this is only a suggestion - again not written in stone at all! You might need more or less metabolic work. You may do more high intensity metabolic work in which case you'd likely want to group sessions of high intensity stuff on the same day to allow for more recovery. You may want to make an ABC template rather than an ABA-BAB template. The list goes on and on.

You could ride this out until you stop making gains, are burned out, mentally bored, etc. At that point, you could back off the weight lifted in each exercise which would let some fatigue dissipate, than start back at it focusing on progressing from that point. Or you could change your exercise selection, rep/set selection a bit, etc, etc. The possibilities are endless.
Keep in mind there's really no point in changing things up as frequently as I see a lot of people doing. In fact, I'd argue that's counterproductive. I suppose it's a product of this muscle confusion principle that's floating around nowadays but you need some structure that you can progressively build upon in order to force adaptation. Without it, you're merely shooting in the dark.
The magic isn't in the exercise. Your body doesn't know if you're doing a seated cable row, a standing barbell row, or some other variation. Granted, there are minor differences in each, but that's why I like to say no "program" is etched in stone as far as exercise selection goes.

Typically one way to move past a sticking point in progressive overload once one arises (which it assuredly will) is by changing up some of the exercise selections. With that in mind, it should be obvious that one row isn't superior over the other. They each have their own positives and negatives. Vary your exercise selection when the time is right which doesn't mean every single week like so many are akin to do.
Any compound exercises that "fit the bill" of each given movement plane will suffice. Which are right? Depends on the individual, skill level, injuries, what you've been doing, equipment availability, etc, etc.

So you had a back injury 2 years ago, fractured your tibia last year, and have spent the past 2 weeks in the hospital? What are you a stunt double or something? My first suggestion is to try to be more careful.

In all seriousness, have you tried physical therapy? Maybe you can stretch and strengthen those muscles so you can get back to using them normally again.

I suffered temporary paralysis back in 2006 from a ruptured disk that somehow interfered with my spinal cord. After surgery, I was terrified to do anything except the physical therapy that I "had" to do to get better.

I started working with a trainer a couple of years ago, and we did a lot of Pilates. Made a world of difference with my back. Pilates really helps a lot with core strengthening. They are pretty low impact, so shouldn't be too harsh on your leg.

I remember when we started, I could barely do 2 reps of hamstring curls (the one where you lie on your back, feet on a fitness ball, go into plank position and rolls the ball under your butt using your legs only). After about 6 months, I could do 3 sets of 20 reps each. It works!