The two mutants Wolverine helps have no names and no basis in the comics.
Bishop and Forge weren't in the original comics story of "The Days of Future Past," the time traveler is Kitty Pryde, who does not appear at all in this series; she is replaced by Bishop, who does not appear in the original story.
The cover for the Assassin video game features the Marvel Comics vigilante the Punisher on the cover.
The method of time travel used in the storyline from the comic book didn't have a person physically go back to the past. Instead, it had a telepath causing the mind of Kate Pryde (future self) to switch with the mind of Kitty Pryde (past/present day self) at the time before the assassination.
This episode is based on "The Uncanny X-Men" (Vol. 1) #141. It is the first ever adaptation of the "Days of Future Past" comic storyline by Chris Claremont and John Byrne.