The false card Zeck presents has the names of James Avery and Pat Fraley. Avery and Fraley were the voices of Shredder and Krang in Teenage Mutant Ninja Turtles (1987).
The real reason the 1987 turtles can't fight the 2012 Bebop and Rocksteady is that at the time of the original cartoon, violence was still banned from children's animated cartoons. However the 1987 turtles were already seen using there weapons against other 2012 villains in episode Trans-Dimensional Turtles.
When the Turtles enter room "1987", a few items can be seen displayed on the shelves, such as claws that resemble those of Freddy Kruger, and a visor similar to that worn by Star Trek character Geordi Laforge. In 1987, Nightmare on Elm Street 3 and Star Trek: The Next Generation were released on film and TV, respectively.