... I make about 2K$ per month and after all my expenses, I have about 1.1K$ left that I can use to either invest, save or do both. What is the best solution for my situation?
You've only given us limited information, but given that you say it will take 6 months to replenish your Efund if you put all investing on hold (so: est. $6,600?), and that you have recently had a few emergencies which have completely depleted this. It's unclear whether these are true, unpredictable emergencies or if these were just infrequent/delayed costs.
The good news: each month you have a surplus of cash, which is a major step towards FI.
My advice: in your situation I'd recommend putting everything into your e-fund for at least a month or two. That will give you a buffer should a third emergency strike. Then you can slowly scale back the money going into your e-fund each month and re-start your investments (into tax-advantaged accounts first). "How fast?" is up to you, but in the absence of more information I'll suggest 100/0 (e-fund/investments) the first month, followed by 90/10, 80/20, 70/30 etc. It immediately gives you some buffer from another unexpected expense while allowing you to still feel like you aren't putting off your investments indefinitely.
Given your expenses it would look like this:
Month 1: $1,100 total in your e-fund
Month 2: $2090
Month 6: $4950
Month 10: $6050 (e-fund will hold steady at this amount, just over 6 months expenses for you)
from thereon out every time you must use some of the e-fund you scale back investing until it's depleted. If you're using your e-fund more than once every couple of years (on average) you aren't anticipating infrequent expenses very well.
Alternatively you can just put all investing on hold while you build your E-fund back to a comfortable level. Given how you are asking this question its apparent that you have some apprehension and so the method above is a good mental median where you can feel you are both preparing yourself for another fiscal shock while not giving up on saving for the future.
Ultimately, choose whichever method feels best to you.