This is the most recent journal which is available through Hebrewbooks. I don’t know if this means that it was discontinued, or they simply did not post any of the further publications…
TheProf: Daya Zooger linked to a 2003 issue of HaPardes (which refers to Rabbi Elberg “zatzal”), so it appears to have continued to have published for at least eight years past ’95.
Also, when did HaPardes begin publishing? Is there any rough equivalent current publication that is similar to what HaPardes was?
I think haPardes started around 1926. It seems Hebrew Books has almost the complete set. The Mir has a beis ha’medrash le’iluy nishmas Rabbi Elberg donated by his wife.