No, because some of the Events requires a Server to be at least at 7 days old from the day it is opened .. And one of those events are the Recharge and Spending Rebates .. If you're going to play on a newly opened server, it is impossible for you to get the said Events within the time period so the best option for you to do is to wait and level-up up until the required level for those event to be available for you, and at the same time, available for the server ..

About the "it will count?" question, i have no idea since i never tried nor never recharged in this game since i started playing .. Tho i assume that it will not count since like what i've said above, that would be the case to happen ..