You'll probably get 2 camps of people here - some who say yes, some who say no.
Have you just started trying to lose weight (again? as you have already lost 24lbs, congrats)? It's not uncommon for people in the beginning to go straight down to 1000-1200 and stay there for a while, feeling not hungry- it's more of a mental thing. Realistically at 5'4 and 200lbs, you would be eating more than double that just to maintain, so you're cutting your food intake in half, at least, without any hunger. That's where it might be mental.
If you are concerned about not losing muscle mass (good) then yes, you'll need to up those calories. I lose on 1400, and I'm only 130 now at 5'4. At 1000-1200, yes, you will lose muscle mass - realistically *anyone* losing a significant amount of weight will lose some muscle mass (you won't be carrying around a 200lb body anymore), but to minimize it, it's generally recommended to keep at a 500 calorie deficit (500 calories under maintenance). Some people do 800-1000 less, it works for them, it's a personal decision.
I know I didn't answer your question

But only you can make that choice.