New Here I have a calorie/exercise question

Hi All, I'm new here after logging my calories I realize although I am trying to eat healthy my calories are too low 800-1000 per day at best. I exercise 4 days a week mostly cardio burning 500-600 a day. I have a heart rate monitor that shows calorie burn. I losts 1.5 the 1st week of healthy eating and have gained 2.5 week two. If I increase my calories to 1200/day and still burn 600/day with cardio will I lose weight? or do I need to completely eat back my burned calories on top of the 1200? I feel like its too much and I am not creating a deficet to lose an weight. I'm 5'5" 45 and trying to lose 30lbs, I want to do it right. I've been trying to lose for 4 years and the scale goes up so maybe my calories are just too low. Help Please!! Thanks:wink:

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