only limiting yourself to 1500 calories a day will never work if you're also working out.
you need lots of varied protein. make sure you eat fish, meat, eggs, beans, all kinds of things with protein. or buy some protein shake. your muscles will be screaming in pain if you only break them down but never give them anything to build themselves up again with.
you should give yourself regular one-day breaks from dieting. remind your body that a full day's worth of calories is easily available, to avoid going into starvation mode, and keep up a normal metabolism. everything will go slower if you only ever starve yourself, and you won't be losing any weight like that.
your body needs fat. your brain needs fat. 1/3 of your brain consists of omega-3 fat. or at least it's supposed to, so make sure you eat fish often. unless your diet already has the necessary amount of the very few vegetables that produce this particular type of fatty acids. nuts contain lots of fat, but you really need the fats that you get from fish and meat (or coconuts/shea) as well. cholesterol is necessary for your body to function properly, and it isn't damaging if you eat it in moderate amounts. it's only damaging if you get too much in your blood flow, and add some (probably sugar or wheat induced) inflammations to that. and, fish oils make your blood flow better, so if you just eat all the different types of fats... you should get pretty well balanced.
a norwegian study has found that people who drink whole fat milk are generally healthier than those who drink low fat milk. it probably has more to do with life style than amount of fat in the milk. those who drink whole milk also eat whole grain, fresh fish, meat from healthier animals, home grown or organic vegetables etc. and they run and walk more.
make sure you get enough vitamin d, it's a necessary hormone not only to your body, but also to your brain and moods. enough iron is necessary. found in beets, red cabbage, broccoli, spinach, liver, blood (that can be eaten too) etc. vitamin supplements are the easier way to make sure you get all that you need, but you really should learn how to get it all through your diet as well.
you actually need some salt in your diet, how else are you going to keep hydrated, when salt is what keeps the water in.
fruit juices should be avoided. some carrot and beet juice in a glass of water, will give you lots of necessary nutrients, and can keep you going for much longer than any fruit juices can. fruits should generally be avoided, berries and vegetables are the way to go.
anyway. if you try to diet, you should either have a really good knowledge of nutrition, or ask an expert for help. dieting the wrong way can make you really sick, and might not help you lose weight at all.
