First of all, congrats on her taking the steps to improve her health. The more supportive and optimistic you can be, the better all around.
Cool. In terms of calorie burning, I'd consider the weekend softball to be "cardio-ish." So be sure to factor that into the rest of the training.
You don't want to overwhelm her with too much, too soon. Morning cardio can be tough enough, so maybe starting with even 15 minutes of decent-paced work would be a better start.
This would be a very inefficient workout. Do some weights, then do some cardio. All one, then all the other. Mixing them together is A - confusing to a beginner, and B - more intense than necessary.
Light weight/high rep workouts don't build lean muscle, and lean muscle is what we want to really boost her metabolism and change her physique. Some women really seem to respond to the basic Starting Strength program, because it's straightforward and consistent strength training.
Also check out this article for some general ideas about training, nutrition, and other issues that may (or may not) be relevant to her situation:
Absolutely correct. Plus the fact that there's no point in taking fat burners when we don't even have a basic nutrition and training plan in place yet.
For the energy, it could be a combination of needing more optimal sleep (if possible) and just cleaning up the diet in general. Once things start working together, the energy or motivation to attack the day should perk up.
I didn't see much talk about cleaning up the diet, but I really like this simple step-by-step plan for getting things organized:
Literally just do one step every other day, and by the end of the month, you're pretty well on track with a good fat loss nutrition plan.