Is this a workout that will help me lose fat?

I am doing something called the Deck of Cards workout. It's when you take a deck of cards and assign each suit with a workout and whatever number and suit you get, that's what you do and how much you do. For example: let's say I made Diamonds push ups. If I draw a 5 of Diamonds, I'd do 5 push ups. Right now I only do about 20-30 cards a day, I separate the deck into smaller piles of 5 and do the exercises with 1 minutes rests in between. This is how I've assigned the suits:

Hearts: Star Jumps

Spades: Burpees

Diamonds-Mountain climbers

Clubs: Bicycle Crunches

I started it a week ago, although I've only done it 3 times, and I'm going to increase the number of cards I do. It takes me about 15-20 minutes each time. I also have been eating a lot less than I usually do and I try to drink more water. Is that going to help me lose fat? Is there anything I should replace on that list of workouts? Should I be doing way more? Should I take shorter breaks? I also feel really sore and I've started to get really bad pains (which I expected) so are there any Pre and post workout stretches I should be doing? You don't have to answer it all, but any information you can give me would be helpful.

I don't know if this matters in how I should change my routine, but someone told it does so I'm 17, about 5' 10" and weigh around 240 lbs. I think I have like 35%-40% body fat percentage. Again, I don't know if that matters but my friend told me you can find out a perfect routine if you use that type of info.

Also, I'm going to be taking Personal Fitness for my gym this year where we get to use the workout equipment in our school gym. We probably will be using it for about 30-35 minutes a day. Anything workout routines for workout equipment in there?