I don't know what exact number you'll get to, but I'd bet you can get to results you can be proud of in that time. If you're choosing to work with a deadline, tracking your food is probably important. I take the tack that while just counting calories in order to force a calorie deficit is fairly useless, leading to rebound, tracking calories and then seeing how the food you eat affects your energy and appetite is fairly useful. With carbohydrates already restricted, it's fairly easy to experiment. For me, 1800 calories with 100 grams of protein and most of the rest of the calories as fat will leave me hungrier and less energetic than 1800 calories with 60 grams of protein and the rest as fat--but for a lot of other people, the opposite is liable to be true.