Lisa you look SO gorgeous in all your photos!!!
Unfortunately lifting weights- unless you are lifting pretty heavy- won't keep your heartrate up- or, your heartrate with rise quickly during a set, then drop again. Bigger muscle groups will get your heart rate higher and burn more calories (think chest, back, quads, glutes, hamstrings) Also compound exercises produce a bigger burn than isolated (multi-joint exercises as opposed to single joint- ie- push ups use your shoulder joint and elbow joint vs chest fly which only uses your shoulder joint)
If you really want to do a resistance workout and keep up your heart rate, a good way to go is set up a couple of circuits for yourself with high intensity cardio as one or a few of the stations. A good one I usually do right after my warm up is a leg one-
3x
Barbell lunges (Quad dominant, but whole lower body)
50 turns of skipping rope (or 20- 30secs if you can see a clock)- fast as you can!
Fitball leg curls (hamstrings/back of thigh)
50 turns of skipping rope
If you can't skip, 20 or 30 mountain climbers does the trick... It's pretty painful though haha! If you don't want cardio in between each station, maybe skip first, do the exercises you've laid out for yourself, then skip at the end.
Or an upper body one:
3x
Push ups (chest and triceps)
Barbell Row (Back and biceps)
Burpees
Shoulder Press (Shoulders and triceps)
10 sec sprint (don't know if you have an open space at your gym or not, but the gym at my school is big and you can run in this big space which is perfect)
You can really do anything in between to get heart rate up- running on the spot, box jumps, step ups... be original!

Or you can do your weight routine then pic a piece of cardio equipment and do 10 mins of intervals. I LOVE LOVE LOVE the exercise bike, normally I'll do 5 mins of sprinting the last 20secs of every minute and then the last 5mins I'll do 45 secs hard as I can, then I turn the resistance to full and stand up and do that for 45 secs. THAT gets your heart rate up

Or 10 mins of interval skipping- 20 secs going hard and fast as I possibly can, and then 10 secs complete stop.
Hope I was helpful!!! If you want something more specific feel free to pm me
