I don't think so as not many of the public knew the dangers of smoking then and almost everyone at home smoked ! The President smoked. No, it was just good advertising for the time period.
I don't think so. Back in those days smoking was considered "normal'. It's only in more recent times that we've come to know how lethal cigarettes can be.
I don't know of any promotion aimed at increasing sales during war time although, doubtless, tobacco companies would consider such a scheme valid.
Going back another 20-some years, there was a very famous British chaplain in WWI named Geoffrey Studdert-Kennedy who is remembered for two things: His poetry and his nickname: "Woodbine Willie". He used to hand out cigarettes and Woodbine tobacco to troops fighting in the trenches in France and Flanders. No promotion involved there: just an attempt to bring some comfort where it was needed.
They gave out them to the soldiers so they could feel like they are gaining something.
For example, you are a soldier in world war II. You are cold, hungry, thirsty, and you miss your family and a decent cigarette. So. The compaines and government gave them to the to the military, so you get your cigarette. It satisfies your cravings and you feel a bit better. You gain hope.
I don't believe they gave away the cigs to get the military personnel addicted. In your "C" rations you would get a small "4 (cig) pack". I think "K rations" had a "10 (cig) pack". If you remember Vitalis, during WWII all the Vitalis made was sent to the troops. Civilians could not buy a bottle in the "drug store". It wasn't till the end of WWII that it became available to the public again on a regular basis.