Yes. The car has never been registered so the warranty starts the day you purchase it for registration. You will likely have to get your selling dealership involved to activate it in the system (ford).
Not really. The warranty starts ticking when the dealer relieves it off his inventory. The fact that the vehicle was purchased by someone and not registered (turned the MSO in for a title and plates) doesn't stop the warranty. There is a complication that this particular vehicle was purchased from the owner of a dealership. The only way to tell is to check the OASIS entry.
Note that in every state I've ever lived (Iowa, South Dakota, Arizona, Massachusetts, Colorado) that you will NOT receive the MSO paper. Those states all collected the state portion of the sales tax and titled the car on my behalf. When I received the title I had to then get it registered to get plates and had to pay the local (county, city) portion of the sales tax to get plates.
When in Colorado I bought two cars (at the same time) from a dealer in Arizona. They titled the cars in Arizona and sent me Arizona titles that I had to convert to Colorado titles. Those titles showed no sales tax collected so when I titled them here I had to pay sales tax (if I had paid AZ sales tax I would have gotten a Colorado credit, but the AZ rate was higher so Arizona didn't collect any since it was an out of state sale). I titled both cars in Colorado but only registered one of them since I didn't plan on driving it as it was to be donated. But that car went to BJ with a Colorado title.
The only time I ever received an MSO was when I bought my truck in Las Vegas (I'm a Colorado resident). I paid cash for it and bought it through the fleet department. The dealer gave a temp tag and a week or so later I got the Fedex envelope with the MSO paper. I called and asked them if they were going to title it in NV but they said since they didn't collect any sales tax they didn't need to. When I took the MSO to the Colorado DMV the Colorado DMV person was so flabbergasted that I had the MSO sheet she called the state office and told them that I had an out of state MSO. They let me register it but said it was the first one they had ever seen like that. Dealer runners do the MSO and first title.
So anyone who has a car with a dealer MSO is very unique or the state didn't care about realizing sales tax on the purchase...
It is also asserted that Ford started the warranty ticking on all remaining inventory at one point. That has been claimed and unclaimed several times so I don't think anyone knows what the real story is.