First - realize you can effect hunger and until you know exactly how the body operates in that manner, you should use your brain not your stomach to decide eating levels.
Just as many gained weight because they listened to their stomach, you can also undereat listening to it.
So you feeling full, and your body being fully fed for level of activity - are not related.

Are you actually eating in total 1200 calories daily with all that exercise?
1200 is considered bare minimum just to get needed nutrients in from average diet, for a sedentary female, so as not to get vitamin or mineral deficient, but nothing about being caloric deficient by too much.
You obviously aren't sedentary, neither in exercise nor in daily life with kids.

So whether that 1200 is totally accurate or not, and actually eating a tad more, whatever level you are eating at in actuality is your maintenance level now.

So 2 directions to go.

You can only suppress your body so much to slow down.
So you can keep eating less and less and eventually you will start losing again, probably not by much.
Exercise isn't going to transform your body much, since that usually requires more energy usage, and if body is already slowing down, it isn't going to improve what requires more energy.
Usually muscle mass is lost in bigger amount than normal.
As body slows down max amount you may have several bad effects, hair growth slows or falls out, nails get chippy, skin bad, ect.
May be hard to adhere to eating so low and binge, each binge making you eat more than your suppressed maintenance, meaning you actually gain fat then.
Maintenance will be much lower eating level, and as many find, fail during maintenance and gain weight back easily.

Or.

Slowly start eating more each week or two, and get body back to full burning mode.
Exercise can have better transforming effects.
Then you take a reasonable deficit and still get full benefits from eating enough for body to be healthy.

Only reason metabolism is said to drop with age is because average muscle mass drops as people age, because average people stop being as active and lose it.
Eventually near end of life metabolism takes a nosedive, unless it's been going down slowly as you age because of lack of activity.

It's not about eating more often, unless that is what works for you, but just about eating more.
No non-fat stuff, fat is good and needed.
Calorie dense stuff, broccoli mainly isn't going to cut it.
Limiting food usually doesn't work long-term, so re-examine why cutting some stuff out if you are.

Just need to eat more, do it in small steps.

Follow the tools in the stickies as to how to do it.

Hi and welcome to the group! I agree with Heybales ^^^^. "It's not about eating more often... but just about eating more". 1200 is way too low. Too low of calories can/will completely stall weight loss. Like he said, begin slowly increasing your calories - eat 1300 one week, 1400 the next, etc. ) until you get up to the proper amount. You can figure your proper calories by using this calculator:

http://scoobysworkshop.com/calorie-calculator/

Make sure to choose the proper activity level for yourself and no more than a 15% deficit. You can read more about this in detail in the "Announcement" section of the EM2WL page. Right now your hunger signals are suppressed because you've been eating too little for too long. Your hunger will return as you begin increasing your calories - many people find they become ravenous when increasing calories because their metabolism is beginning to increase again. I hope this helps! Post back with any questions you have! Again, welcome!!

I was like you a few years ago, found MFP found this group and did (mostly) do what was suggested. I slowly increased cals, had much more energy I remember one day on a run thinking wow this training is finally working, when I realised it wasn't the training it was fuelling properly.

I lost weight and started to lift weights, just dumbbells but again increased the weight considerably more than I thought I could and took up other training circuit/interval based.

I lost my way a little over the past 12-18 months with life in general and then illness but I am back on it now too.

I could never go back to low cals again and I just need to get the bad habits I've picked back up kicked into place.

good luck