From the casting director's perspective, I can understand why TAR13 teams didn't get asked back based on their hooks.
Nick & Starr -- The fact that no winners are on is probably the biggest factor, but would the medical staff have allowed them to race?
Ken & Tina -- I remember that their hook was about whether Tina would reconcile with Ken over his infidelity. Once their run was over, production probably felt that their storyline had run its course. Uchenna & Joyce had a similar storyline as the couple whose infertility strained their marriage. The whole orphanage task was a major plot point in their story. I believe that they were asked back for TAR11 solely because of their rivalry with Rob & Amber. Did Ken & Tina have such an intense rivalry with another team?
Andrew & Dan -- No explanation needed.
Toni & Dallas -- Their hooks were Mother & Son, and elimination via lost passport. I think they would've had a good chance of coming back, but two teams basically knocked them out. Margie & Luke had the hooks of Mother & Son, deaf, and also gay, if they wanted to add that. Zev & Justin had the elimination via lost passport element, but also Asperger's Syndrome. Unless Toni & Dallas had some drastic changes to their lives in the interim, like a change in sexual orientation or suddenly becoming overtly Muslim, like Bilal & Sa'eed, it was going to be an uphill battle to get cast over those two teams.
I'll leave the rest of the TAR13 teams for others.