Yes (and no). For the purpose of "Active Duty" it absolutely does. For the purpose of benefits, it usually does not. Benefits use "Active Service" which 99% of the time stipulates "other than active duty for training". So it depends on what you are specifically asking for.

Priority 4

Yes. The day a service member swears in and leaves home for basic training they are placed on active duty status and remain there regardless of their actual job until graduation. Upon graduation they may be returned to reserve status if that is the type of unit they serve with. Same goes for National Guard.

There is no Army National Guard basic training. It is basic training at one of the US Army's active duty training base. All active, reserve, and guard members train together as one. The platoon guide is basically a leader of the platoon.

Depends on whether you're provided with barracks or not.