This is a great question actually, I've been thinking about it all day. Finally decided to approach a native speaker to explain it to me. Looks like what I wrote earlier isn't really relevant
He seems to be sure that he cannot hear any difference in 月and 月份。Both are equally "particular" or "not particular".
But 年份 is trickier and not nearly as common as 年。You cannot say 他是1987年份出生的。 You also cannot say 这件事情是2020年份发生的。Also wrong: 1999年份后我没有和他见过面. Here are some native speaker -approved sentences where it is okay to say 年份:
我最喜欢的年份是1998年。
你说你6月份毕业，请问是什么年份呢?
请把你的出生年份告诉我。
越南战争发生在什么年份?