First, Welcome to BYC and chicken keeping!
Yes, I think they are Production Reds, which is simply hatchery quality RIR.
They should be great layers...and I am surprised they are not laying even with the move especially since it was 2 weeks ago.. (My RIR's I gave to my daughter layed in route to TN, hauled in the back of a trailer, and continue to lay on her new farm there).
I do see feathers floating, so they could be molting, which would definitely stop production....a little unusual for birds at 6 months, but maybe change of weather, lighting, move brought on a molt.
As to how old they are...that is a tough one after a chicken has reached maturity.
I can say they are pullets/hens and they are fully grown vs. you don't have young cockerals nor younger birds.
General condition is in keeping with 6 months-ish....older hens tend to have some scaly leg mite or some general aging appearance...but only if they are not kept up...my 3 to 4 year old "pet" hens that I keep because they follow my husband around (which he enjoys) look no different on the outside than my fully grown pullets at 6 months.
You can see if they are close to laying or have been in production by measuring the distance between their pubic bones. I'll link a video and article below as it is easier to see than explain.
An older hen will eventually shut down production, and her pelvis becomes very narrow...sort of like the craggy old woman. I'm not seeing that in your hens.
That's about all you can do when you purchase older hens...view their general appearance and check their pelvic bones for production stage.
LofMc