At 38:48, Sach asks Slip if he's going to the sanitarium with Butch. The camera changes, and Slip, who had been looking at the floor, now looks at Sach.
When Sach returns to the baby carriage, there is one extra carriage present, setting up the gag of taking the wrong baby; however, the additional carriage was at the far right and Sach takes the same carriage he left.
It's obvious that the baby tossed during the laundromat brawl isn't real.
At 23:10, Louie mentions having a wife. In the previous Bowery Boys movie (Fighting Fools), Louie says he's not even married yet.
Laura's husband is said to have been killed in "the war" (i.e., World War II, which ended in 1945) yet about three years later their child is less than a year old.
Gabe lays a thug low with a "judo" chop. Later the thug pays him back with a chop to the neck. It's hardy done with enough force to lay Gabe low, yet does.
Sach raises the water pressure of his crazy new washing machine to an extreme, until it goes berserk. There's no explanation behind the raise except to "live dangerously." The machine reacts badly, and somehow spews laundry across the room. From one camera's perspective, it also soaks Sach and the boys standing around it, but from another camera's perspective, it soaks Slip who sits across the room at his desk, calling into question the machine's design.
Although it was thriving, Slip's bustling laundry business completely and inexplicably closes down upon the arrival of the baby, never to operate again. (Neither he nor Louie appear to have any business sense.)