The poster in Debbie's apartment was for "The Australian Film Festival in New York", a real life film festival that played in NYC during the early 1980s. The poster was intended to reference Olivia Newton-John's Australian identity.
As Zack is leaving the bank, you can see his mustache is almost all the way off, then when he is running down the street his mustache is completely back on his face with no time to have fixed it.