Epstein's first conviction was in 2008.
The allegation about Minksky stems from a single line in a gigantic recently published deposition ( https://twitter.com/_cryptome_/status/1159946492871938048 ), covering events long before 2008.
Minsky was included in a list of people that Epstein's assistant asked one of his victims to have sex with (the deposition didn't ask if sex actually occurred). In the deposition the victim couldn't remember the date they received that request, but a third party reported that they saw the victim approach Minsky in 2002 and that he turned her down and complained about it ( https://pjmedia.com/instapundit/339725/ ).
It may be the case that the witnessed event and the content of the deposition were unrelated and at different times, but if not-- the victim was also 18 at the time...
But no one really cares about the facts, this is almost entirely a ceremonial battle over who has the sickest imagination. Because there are essentially no clear details, not even a concrete allegation, everyone is essentially making things up in order to fight over them.