Brian Banks did, in fact, play for the Atlanta Falcons in 2013. However, he did not make the final 53-man roster and was released before the regular season began.
The ending shows Brian Banks playing for the Atlanta Falcons; coming out onto the field of the Mercedez-Benz Stadium. That stadium wasn't built until 2017. In 2013 The Atlanta Falcons played in the now demolished Georgia Dome.