1200 calories should be about the absolute minimum calories you consume in a day. Don't drop below that.
Cardio workouts really don't need to be more than 30-45 minutes in length. You should find out your
Target Heart Rate and try to maintain that for the duration of your workout to maximize fat loss. Low-moderate intensity cardio (about 65% of your Max Heart Rate) is actually better for burning fat calories, but higher intensity (80-85%) will burn more calories overall. It's actually more beneficial to maintain the 60-70% range for the majority of your workout while increasing intensity to 80-85% for short bursts (about 1-2 minutes in length) throughout.
I realize I just through a lot of numbers at you, so let's see if I can simplify it. I'll use my own stats.
Find your Resting Heart Rate: Take your pulse for one minute, preferably first thing in the morning. That will be your RHR. My RHR is 68 beats per minute.
Find your Maximum Heart Rate: 220 - Your Age. 220 - 24 = 196. This provides a decent estimation of your MHR.
Find your Target Heart Rate: MHR - RHR. 196 - 68 = 128.
Low Intensity "Fat Burning" Zone:
128 x 65% = 83.2
Add your RHR: 83.2 + 68 = 151.2
For Fat Burning, I should maintain a Heart Rate around 151.2 beats per minute.
High Intensity "Cardio" Zone:
128 x 85% =108.8
Add your RHR: 108.8 + 68 = 176.8
For high-intensity cardio and general calorie burning, I should maintain a Heart Rate around 176.8
For a Weight-Loss Routine, I would probably do something like this:
5 minutes at 65%, or 151 bpm
1 minute at 85%, or 176
5 minutes at 65%
2 minutes at 85%
5 minutes at 65%
1 minute at 85%
5 minutes at 65%
Cool Down