When francis is talking to piama his arm is by his side but in the next scene his arm is raised and he has mail in it.
When Piama is arrested, the placard in her mugshot reads "MANU COUNTY PD". Alaska is divided into boroughs, not counties.
Dewey is too afraid to sleep and fearing someone will break in again and he keeps Malcolm awake and Malcolm starts to lose his mind from lack of sleep, yet Dewey doesn't lose his mind from lack of sleep.