Technically the 2005-current series is a sequel of sorts to the TV movie, as it's still in continuity (The Eighth Doctor's fate and how it linked up with everything else was explained fully in "Night of the Doctor" and "Day of the Doctor"). Paul Mcgann also does audio plays for his Doctor. I wouldn't rule out a team-up episode as well in the future.
The half-human bit was briefly brought up in season 9's Hybrid arc, but as always with Doctor Who, it's kind of one of the many other questions the show kind of leaves open about the Doctor's true origins/reason for leaving Gallifrey etc.