You did not put the weight on "really fast" and you aren't going to lose it "really fast"! With that said, what you have listed for a plan to lose the weight looks to be a good way to go, as long as those 1800 calories are coming from a balanced diet.
As for a short 5 minute workout, check out some exercise sites. A friend of mine swears by SparkPeople. She lost 50 lbs. In about 6 months using it.