Who remembers what?

-Does J remember being a boy at Cape Canaveral on July 16, 1969?
-Does J remember his Men in Black agent self being at Cape Canaveral?
-K apparently does not remember agent J being at Cape Canaveral on that day, just himself killing Boris The Animal.
-There were two Borises at Cape Canaveral--one fought with J, the other with K. Will K only remember the one he fought with? That one had both arms, because he hadn't lost one yet-- this was the first encounter relived.
-Does anyone remember J being at Cape Canaveral? That would mean that time-travel was known to many, and they would have witnessed and remembered intersecting(?) time-streams.
This would not be consistent with the advanced, resourceful organization known as the Men in Black, who use neuralyzers to suppress public awareness of their affairs.
-Does O remember J time-traveling and helping K? She knows about time travel later on. Her younger self sent them off with the rockets in 1969.

-One thing that will be remembered--they're going to find the colonel's body. J and Griffin are safely out of that realm, but K is not. He'll need to use his Men in Black non-existence to avoid arrest.
Fortunately, the MPs did not believe the story about there being a special secret organization to deal with aliens.
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The story is king.