A batch was imported and posted in BR which contained deposits from 2 different months. Is it possible to clear part of the batch and have the remaining entries left for the following month? If not, what’s the best way to handle it?

Rebecca:

The best answer to any data entry error is to reverse the mistake and redo it.

So in this case reverse the single deposit and re-enter it as two batches (deposits). You don't need to worry about reversing (NSF'ing) the individual transactions within the batch, just deal with the sums.