Not enough calories...

Stop avoiding fats and Carbs. There's nothing wrong with either...you need them. Eat healthy well balanced meals and snacks....and stick to the macros MFP gave you.
Also....2# a week may be too aggressive a goal for you. Slower is healthier and more sustainable ...and more likely to be successful.

First off a 500 calorie deficit if done for 7 days should result in a 1lb loss.

A couple foods that have a higher caloric value are: almonds (really any nuts) and avocado (these foods have good fats and some fiber too!)

Have an apple and peanut butter or a banana and peanut butter, apple and some cheese, black berries and full fat greek yogurt, toast with peanut butter and banana... (can you tell i like peanut butter haha)

I think you have an unhealthy idea about food, first off. As the posters above said, you need fats, and carbs--especially the healthy kinds. and IF you're going to cave in to low fat/low carb, you can't be cutting both! what's left? only protein. Thats absurd. don't cut out anything you literally dont plan to eliminate for LIFE--best advice i ever heard for weight loss.

you didnt post your stats, but im guessing you're already at a decent weight. 2lbs a week is tough, especially when you're already starting out relatively fit. Its easier for somebody who is obese to lose 2lbs a week than somebody who is fit. i couldn't see more than just the one picture, but i see only one chin and what appears to be a healthy girl, so i really think you should consider eating more calories.

if you're legitimately not hungry [i get it. sometimes i have to literally MAKE myself eat, i never FEEL hungry], consider drinking your calories. protein shakes, booster juices, add some olive oil to your foods, stuff like that. I bet if you add just a couple hundred more calories to your daily totals, you'll start seeing better results. ive noticed when i eat, i drop weight like THAT *snaps fingers* When i whine AHH so much food, and eat like 1100 calories a day, nothing at all happens. or worse.

My $0.02. good luck on your journey.

I think you're doing a great job. Just make sure you get your proteins and your vegetables. Some people have higher metabolism than others so you might just have more muscles to help your metabolism. I eat a lot too usually after I work out because that's about the only time I get hungry but sometimes, I don't make the calorie number either and I also drink a lot of water. Just make sure you're not getting dizzy or headaches from not eating that's actually a sign that your body is in starvation mode. Other than that keep up the good work.

BTW Bacon is bad for you. Heart attacks is the number one killer of men and the number 2 silent killer of women. Stop eating Bacon. Eat the good fats.

What the...? Bacon causes heart attacks now? WTF am I allowed to eat anymore?

I love oatmeal because it's a good source of carbs, it has plenty of fiber, and it has whole grains.
Haha I love bacon but rarely eat it. The only time I get any form of dizziness is when I just finish working out and have nothing left in me, but I replenish with protein within an hour or so!

Don't worry about the oatmeal...unless you are eating the whole container at once! I make oatmeal muffins every week to have on hand.

A strip of bacon won't kill you as long as you are not eating a pound of it every day.

I eat pizza and still lose weight...I am just cautious about what kind it is. I have switched to thin crust and mostly vegetable ones but occasionally have a slice of pepperoni...I just watch my portion control and if it will fit in to my daily allowance.

In other words...don't feel as if you have to give everything up...just figure out how much you can eat of something...make sure that most of your food is giving your the nutrients that you need.

You are eighteen...don't make yourself miserable...enjoy your life...you can still lose the weight...just maybe a little slower than what you would like. Set you calories at a level that you can be comfortable with and still lose .5lb to a 1lb a week.

They're right. Bacon killed my grandfather. He ate 1/2 pound to a pound a day and it took him out....at 97 years of age.