Other mistake: In the ending credits, Gary Carter is listed twice.
Other mistake: Early in the film, before they were signed to a record deal the Doors were playing small clubs around L.A. in 1966. After one of these gigs, a promoter comes up and asks Jim Morrison how old he is, in which he replies "21." Morrison was born in 1943, so the youngest he could have been is 22, not 21.