I have no broken bits. I could stand to lose a few pounds. As for my sleep, it's alright on my good days. Get around 7-8 hours of sleep per night.
Also - exercise is not just in the gym. Find what you like. Any sub-optimal training is better than nothing.
More practical advice on machines / weight:
Start with at least 5-10 min warm up. This can be some light stretching or cardio.
Then pick a machine, start doing 1 set (aim for 10 repetitions) with very low weights. This should be just to practice the form, you should not be tired. If at any point you feel tired, lower the weight.
Then do 1 other set, with a bit more weight. You should feel it, but still be easy.
Then do 3-4 sets, about 10 repetitions with more weight. You should finish each set feeling like you can nearly not do any more repetitions.
Rest between sets should be between 30 secs - 2 mins. It depends how you feel.
The first time you go, just see how much weight gives you the required feeling; also see how you feel the next day (and the one after that).
Even more advice - but if it feels too much information, just don't worry
If you have no clue about the order for exercises. The general idea should be
You should start with the exercises where you want to improve the most. Do you want to do a pull up? Then do a back exercise (e.g. rows, assisted pull up, etc) first.
It is also a good idea to start with the more "full body" exercises (compound movements) such as squats, lunges, pull ups, chest presses. Then go to smaller exercises that involve fewer muscles.
As a beginner you can do full body exercises every time you train without any problem. Don't worry about doing the perfect thing, worry about doing the thing you enjoy.
10 reps is a general guide. You can do less, or more - but I find 10 is a nice round number
Edit 2 - While form is important, just do things. As long as you are not lifting heavy or doing hundreds of reps, bad form won't kill you. That being said, always try to improve your form.
Edit 1
MOST IMPORTANT: don't be discouraged by how "badly" you are doing. If you are going
back to the gym, you may have an idea in your head of what you should be able to do, which may not match what you can actually do. There is no shame in squatting with only the bar (or only bodyweight), and doing push up on your knees (or against a wall)
