It just doesn't work!

1. are you increasing your calories to compensate for the exercise you're doing? you must!
2. how much are you trying to lose? the less you need to lose, the slower it will come off.

you should never go below 1200, else, your body is gonna go into starvation mode. how much water are you drinking? try to up your water intake, it can boost your metabolism.

I drink water with each meal and drink lots of water during exercise. Also, my body held on to the weight when I first started exercising. It took about a month for my body to get used to it and I began to lose. Try starting with 30 minutes 3 times a week and eating the cals MFP tells you to. Then slowly increase your exercise. Don't give up. It didn't come on all at once and it won't come off all at once.

I sooo feel your frustration!! I felt the same way, but looking it over I need to EAT MORE! Look at it this way, if you drop even lower than 1200, what happens if you still dont lose, will you drop even lower say to 700 cals a day?? That would never work!

Up your cals 300-400 calories a day. Give your body a boost, but eat healthy!! It seems crazy, but you have to eat more to lose!

I am having a hard time right now myself grasping that. But I am willing to eat MORE and see, rather than eat LESS and be starving!

Whatever you do, keep plugging away at it. I lose weight very slowly and it took me a long time to get to where I am now. I plateaued for a while, but I really wasn't pushing myself and tracking my food. I've been back tracking since 2/8 and I'm seeing a difference. You can do this! Just keep posting, it is a good motivator. We are all here to make sure that we ALL succeed!

What is your current height and weight? Also, if you open up your diary, everyone can see if there is something off. Are you drinking alcohol?

I can pick out one big thing right away... you really undercut your efforts if you skip breakfast. it revs up your metabolism and gets the fire burning, and without it, your body stays in the lower metabolic sleeping mode for hours longer than it needs to.

Eat your breakfast! Even 200-250 calories of some protein and some carbs will make a difference. You don't have to eat "breakfast" foods. You can eat some chicken or some quinoa or whatever strikes you as appetizing, but it is "the most important meal of the day!"

I agree with LL, technically Breakfast should be the biggest, most nutritious meal of the day, but for most of us that's just not happening, so the least you can do is make it functionally acceptable, by that I mean, eat enough to kick your body into work mode, and by all means, make sure you eat some complex carbs at breakfast, your body has been fasting for 8 to 12 hours, it needs fuel, it needs it fast, and it needs the kind of fuel that lasts until the next meal and beyond (complex carbs do all of these functions).

OK, that said, now lets talk about this 1300 KCal thing, this is bad news IMHO. You gave me some great numbers to work with, and as such I did some calculations. I don't know how active you are, so I'll give you two estimates, both of which require more daily calories than 1300, even when you are trying to lose.

so if you are considered lightly active (I.E. a desk job that you walk around a little bit with, and maybe you are active one day a week and one day on the weekend) then your TDEE (maintenance calories) should be somewhere around 1950 kcal/day. That means in order to maintain your current weight you need to eat that much, it's around 2200 if you are considered moderately active, I.E. your job is fairly active, and/or you do some kind of low intensity physical activity for about an hour or more a day 4 to 6 days a week.

This is where the 1300 kcal is a problem. Even if you are only lightly active (1950 kcal), that means you are giving yourself a 650 calorie per day deficit, that's equivalent to over 1 lb per week (or almost 1/2 a kg per week). Sounds great except your body won't let that happen, you just don't have the reserves to do this, your body will start to panic, eventually (over the course of a few weeks) start slowing down your basic metabolic functions, and increasing the hormones that trigger fat storage. This won't usually completely stop weight loss but it will dramatically curtail it, and it will also force the loss of the wrong kind of weight, lean tissue (muscle, tendon, bone...etc) which will lower your metabolic rate, which makes you more lethargic, which makes you want to do less exercise, and makes you feel more tired...etc. It becomes a vicious cycle.

So my recommendation is to up your calories to about 1500 (more if you are moderately active, maybe 1750 or so). You don't have a lot of fat to remove, and your body needs to be able to feel it can safely burn that fat, creating a large deficit will cause your body to slow it's rate of calorie burn, and will lower the percentage of calories burned from stored fat. And please eat your exercise calories! Eat at least 250 calories for breakfast making sure your eating at least 25 grams of complex carbohydrates (cereals, whole grains, vegetables, some fruit (not too much fruit), milk (watch the fat content, 1% or 2% milk is perfect), and some lean protein, and make sure you do at least 2 days a week of resistance training (and I mean hard resistance stuff, like weight training, or HIIT taining). These types of activity will reduce the cm's off your trunk (waist, hips, chest...etc). Remember, it's not about weight for you, it's about body fat %, you want to rev up your engine, tell your body it's ok to burn the extra fat, the way to do that is to feed your body and exercise, not to starve it. Also resistance training will strengthen your bones, as well as muscles.
One note, when you raise your calories, you may actually gain a couple of pounds, don't worry about that, it's natural, and it's ok, give it a month or so, and this process will reverse itself in a HUGE hurry. You'll feel more energy, and weight will start to come off faster, and from the correct places. Trust the process, it really does work if you stick with it.

hope this helps.