it can definitely be frustrating to think you are doing all the right things and to see no results. Give it time. You've been exercising for 2 weeks. Learn what works for you. I see so many people who work out really hard and then burn out. Start out slow, do exercise that you enjoy. Eat healthy foods you enjoy. If you give up, you'll never get to your goal. You have 20 pounds to lose? That's certainly attainable. If you said you had 100 or more I'd say the same. It's all about life style choices and lasting changes. Stick with it. If you make small changes and stick with them you WILL see results. If you are only willing to do this for 2 weeks you won't see results or keep the results you get. You have to make permanent changes. If you exercise and eat well you will lose weight.
Definitely, eat more...within your calorie range of course. Eating 1200 and exercising 1 hour a day seems extreme.
Are you doing strength training? That makes a huge difference! Try Coach Nicole's Spring Bootcamp. It's short videos. (I started Sunday and the longest one so far is 10 min) It'll give you something to stick to...the challenge lasts 28 days. Are you supposed to quit after 28 days? Of course not. You find different exercises that work for you. And you eat foods that nourish you. It's also about learning what works for you.
Spark People is amazing. There are so many resources to help you along the way.