Major Lattimer's medal/ribbon rack is upside down. The highest ranking ones should be at the top, not the bottom. Also, it shows her having a Bronze Star and two combat ribbons. Women Marines are Combat Support, never direct combat.
When Pete and Myka are in Pennsylvania, their rental car has PA plates, both at the front and back of the car.
In Pennsylvania, cars only have plates on the back.
There are numerous uniform errors among the male marines: incorrect placement of ribbons/medals, head bands on covers, and one NCO calls a major by his/her first name.
Possible closed captioning error: when the establishing shot of the civil war after showing Maj Lattimer's red finger, the closed captioning reads "fife playing 'Battle Hymn of the Republic' ", but the actual tune being played is "When Johnny Comes Marching Home". Hearing impaired people often have CC showing to follow the dialog but may still be able to recognize music sometimes.