Same eviction case for missing rent in different month?

[Chunwai Lai]

Last May, I filed a case to evict a tenant in my apartment at Harrison, New Jersey (Hudson county).  I didn't receive any respond from the court so I thought my letter was lost.  At the same time, my tenant started to pay rent so there was OK.  However, my tenant just told me he would pay rent this Dec.  While I was planning to file another eviction, I got the court date finally for the first eviction case.  Can I simply update my complain to evict tenant for not paying rent in Dec instead of May? Or I need to file a new case (and wait half a year!)