If you did not pay your rent for Dec. and Jan. (even if the judgment was in your favor), the landlord is entitled to place a "pay or quit" for those months.
(The issue with Dec. rent being rejected initially should still have been resolved, if you received a positive judgment, you should have retendered the payment to the landlord promptly).
With regards ***** ***** Feb. payment - if your rent includes a grace period that provides you with a 3 day grace period, your rent is not considered late until after that time period has passed.
What this means is that the notice is defective in as much as it demands Feb. payment prematurely.
How you want to deal with this strategically is up to you - you are still going to owe rent for these three months regardless of what happens.
You can write another written notice to the landlord identifying the defect in the notice - this will simply alert them to the deficiency and they will wait, then give you a new notice (they are unlikely to push ahead a second time with a defective notice).
You can go ahead and let the notice sit, then wait for them to file a second UD, go to trial, and hope the court agrees with you (as you have found, there are "inherent risks in litigation" - so while this is technically deficient notice, you may not find that the court agrees with you (particularly if there are 2 months outstanding rent due)).
You can simply pay your rent and keep written documentation showing you paid for the 3 months, and get a receipt from the landlord.