Yes, it could well do that.
Children may want to emulate their fathers.
All those forms of encouragement are indirect , and fairly vague at that.
Most people who watch football, drink or read HP don't turn into hooligans, bingers or Wiccans, but those who smoke all end up addicted.
So the issues are not the same here.
I won't accept your assumptions unless you show me some real DATA. You're just saying all this stuff but not citing any evidence at all. Most of my friends smoke, and I'd say among them 2 (maybe a 3rd, but not sure about him), could be classed as "addicts".
At what standard do we really use for "addiction" - according to the test issued by alcoholics anonymous, I'm an alcoholic - but I don't particularly feel the specific need for booze. I just drink it when I feel it's appropriate, IE when I'm in a bar, or at some social gathering where I'm with friends who are also drinking. I feel no dependency.
Regarding encouragement - you're saying children want to emulate their parents, well, that's no more or less indirect form of encouragement than the things i put up as examples. Active encouragement would be the parents saying to their children "come on, kids, smoke, it's great!". This can be put down to bad parenting, it's no reason just ban cigarettes altogether. Should be ban kitchen knives if there's a man encouraging his kids to go and stab people? Point is, your argument about how smoking encourages others to smoke is weak. And, how exactly does my being gay "encourage" others to be? It's a natural state, either you are or you aren't. My being openly gay might encourage other gays to be more open too, but that would be a good thing!
So, you're wanting to apply proportion to the whole thing? Less people get killed by alcohol than cigarettes so we just ban cigarettes and keep alcohol? This is a dangerous line of logic, in my humble opinion.