At minimum Caloric Intake 1200.. but I work out.. do I eat back those calories?

Yes.

http://community.myfitnesspal.com/en/discussion/1080242/a-guide-to-get-you-started-on-your-path-to-sexypants

Yeah.

In theory, yes. HOWEVER, unless you have a heart rate monitor, be aware that those calories may not be accurate. If you are choosing a workout from the MFP database, these are notorious for overestimating calories burned. Most people choose to eat back half of their exercise calories for this reason.

Even if you have a heart rate monitor, those calories may not be accurate. But in theory, yes, you should eat more if you exercise more than normal.

I was the same last year eating 1200 calories and always ate back exercise calories but only if they were from cardio.

That is the way this tool is designed...but you should account for some kind of estimation error...even with a HRM.