If you're losing weight too fast, more than a couple lb's (1 KG) a week, you'll definitely burn more muscle. Having macros cutting out a lot of carbs will also reduce muscle, because low carb is ok for losing weight, it still causes muscle loss; but, the more you reduce your carbs the more muscle loss may occur. Both protein and carb help to maintain muscle, so for a 200lb if you're lowering your carbs to 100, your protein should be 200-300, and healthy fats should be relatively high to fill in the gap until you get to your daily calorie value.
Strength training or using low reps in weight training has been shown to maintain muscle better than endurance exercises as well such as your 80 push ups. Weight training is essential to maintaining muscle mass as well, especially with lower reps in 6-8 range, because if you aren't using your muscle, your body is going to cut that before fat, because its more calorie expensive (Our bodies are meant for survival, not to look aesthetically pleasing). It's also nearly impossible to not lose any muscle during a cut, the goal being to hold onto as much as possible. Even Schwarzeneggar lost muscle during a cut.
When measuring fat and muscle be sure to use body fat calipers, unless you have resources for a DEXA scan. Try the 7 point test - Click Here, and use a scale to get your weight. The test will show you what bodyfat percentage you are and how much of your weight is fat vs muscle. Track every week at the same time, preferably morning, and measure again. This will show you a much more accurate picture of muscle loss vs fat loss. The scales that show you that can be inaccurate because it may mistake water and bone density or other factors for muscle. Don't be concerned if your numbers arent 100% accurate, as if you measure at night or in the middle of the week it might be off. the important thing is that over time, you show progress over a month or two and can see where you land.
I also personally don't think you need creatine for a cut, as it will make you retain body water and its purpose for energy and muscle gain aren't really being used, but some people online have experimented with it with success so that's up to you. L-arginine and CLA have mixed research or don't show significant enough results where you'll take these. These are more if you're competing and just throwing everything at the wall.