Hello!

Thanks for the edit. It's quite hard from aerials to tell what's happening here and the TIGER road database (https://wiki.openstreetmap.org/wiki/TIGER) has this marked all the way through. 

Typically access tags on driveways are unnecessary as apps know to avoid routing along them. That said, if a driveway is gated or has "keep out" signage then access=private is great. The more typical access level is "destination" which will still let delivery companies route to the right place.

Anyhow, welcome to OpenStreetMap. Definitely reach out if you have any questions!