Character mistake: The NCO in charge of the Navy construction crew is wearing a commissioned officer's eagle insignia on his hat. A non-commissioned officer would have one with a Navy anchor on it. This mistake appears in several episodes showing Ben's Navy service.
Continuity mistake: When Toni locates Jason at the 171st repple depple the two embrace, and in the following shots Toni's watch repeatedly disappears and reappears on her wrist, depending on the angle of the shot. (00:16:20)
Visible crew/equipment: While Elizabeth and Drew are fishing, when she walks over to stand beside Molly she and Drew begin arguing, and we can see the bulging outline of the mic transmitter at the back of Elizabeth's waist, particularly when she mounts the horse. (00:04:50)
Other mistake: When Elizabeth's horse takes the bad fall, Maryellen tells them it has a broken hoof. So they put the horse down instead of taking it to a nearby vet for help.
Suggested correction: This episode takes place in 1945. We see Mary Ellen look toward the mare's front (not hind) legs/joints, which are weight bearing; and when Mary Ellen tells Elizabeth about her mare, Molly, Mary Ellen's actual words are, "Elizabeth, it's her leg. It's broken. It's bad. We're gonna have to put her out of her misery." Viewers are not shown what Molly's "bad" break is, but with Mary Ellen's words, we know the break is severe, which was a death sentence for any horse. Just to add, it all completely depends on the location of the equine injury and the severity of the break/fracture. Nowadays, with modern advancements in equine veterinary care, (thankfully!) some severe breaks may not be a death sentence for a horse.