I like the Mifflin equations for calculating RMR (Resting Metabolic Rate) and TEE (Total Energy Expenditure).
Those equations say that with cardio 5x/week and lifting twice a week you're -probably- burning in the 2000-2300 range per day. Split the difference and we get 2150. Knocking off 10% is darn reasonable if you're just starting a lifting/exercise program, because that's -hard- work for your body.
That gives you 1935. Heck, round down to 1900 to make it easy.
100-150g of protein per day is pretty reasonable. Your lean body mass is probably 105lb, so 1-1.5 g of protein per lb of LBM.
150g of protein is 600 calories
25% of your calories from fat. Preferably the good stuff. 52g of fat - 475 calories.
825 calories left, 206g of carb per day, where carb can moved to protein on a one for one basis.
Fiber is good for you, I'm indifferent to sodium and sugar - they tend to take care of themselves IME.
Try it for two weeks or a month (I'd go for a month, but I understand impatience). Have you lost weight? How do you feel in the gym? If you're losing 1-1.5lb/week - you're probably at about the right level. If you're not, you could drop another 10% of your calories. If you're loosing too fast, increase them some.
1200 calories? And cardio 5x/week, lifting 3 times? I'd guess in two weeks you'll feel lousy at the gym, and have trouble doing as much cardio and weights as you were on your first day. And there's nothing left to cut if you start that low.
Now - if you're -happy- on 1200 calories? You're not hungry, and you feel good most days, you might try 4 1200 calorie days and eat freely after the each lifting session. (with a general target of 3 2800 calorie days) - that makes the averages come out better, and is likely to help you feel better after lifting (I always need protein and carbs after lifting).