SAT Score Increase by 400+ Points

I am not sure about the 2200 but a score of 2000 is a real possibility. Firs of all if time is a limiting factor you should pay more attention to CR and M and less to writing since a lot of colleges look mostly for the CR+M. Obviously I am not saying not to study at all or that it does not matter but if you are pressed for time you should prioritize. Second, in order to score higher the first step is not to learn harder things but to make sure you answering correctly the stuff you already know. For example in math I would not spend most of my time trying to attack really tricky questions or questions that you have no idea how to solve. Were you able to identify any of your weaknesses? That would be a key. For example again in math do you make careless mistakes such as answer what y is while the question asks what x is? Or answer what x is while the question asks what 2x is? Do you make a lot of “stupid” mistakes while you know exactly what you need to do and you are ok with the concepts? If you identify a few weaknesses then you should prioritize practicing for those. Same for CR. Do you have NO idea how to answer or are you frequently stuck between 2 answers that both could be true? One thing that might help for CR is to check the answer immediately. For example in question 20 you answered A. Check immediately to see if A is the right answer. This way you have very fresh in your mind why you chose A and you do not need to go back to the test and read again etc. You kind of save some time. Also you will remember better if you were debating between A and the right answer and it might be more clear where your thought was wrong. It is key to understand why you make certain mistakes.
Anyway, do not try to jump ahead of yourself and be realistic. See what you can do in March and then you can work harder and bring up that score a second time.