In the credit for Partial Funding the word Foundation is misspelled as "Fondation".
The film is set in 1942 but two of the three stamps on the envelope Minion receives were not printed yet in 1942. The "Iwo Jima" stamp came out in July 1945 and the Special Delivery stamp came out in the mid-1950s.
The film is built on a faulty premise: that a major studio in 1942 would have to throw out an entire musical number because the sound was recorded out of sync. Any rookie editor could have simply resynched it in the cutting room in less than two minutes.