Only if some of those visitors decide to put links to your site on their site or blog. Otherwise, no, not at all, there's absolutely no connection.
make a quality content to make your site get a higher traffic so that visitors will like and visit you always.
No, unless the visitors that visit your sites like your site and link to you from their site. High PR Backlinks is the main factor to get higher PR for your site, but you should concentrate on how to build traffic for your site! Traffic is the main source of income!
Directly NO, but just like others say if your visitor will link to you. One thing you can do is to give visitors some option to bookmark your site if they have accounts or encourage them to set up an account on social bookmarking sites.
Sorry, but adwords is just a different game and has no corelation to PageRank. PR is all about the counting of your website's backlinks.
You can use adwords then increase your traffic, you get more business, but it is not helps to increase PR. PR is based on quality of back links, you can build back links.
If you have very good stuff and you know everybody wants it than you must use this method .Like you have a list of best 1000 photoshop headers or anything related to designs . Than use adwords for few times and than see the magic . If they are high quality images than you can get good page ranks .
Traffic from adwords can not help in PR, But if you have fresh and nice content on your page and some relevant link from unique c class domain, you can have benefits of PR.
No it can't really, unless those visitors have websites on their own and loved your subject then becomes interested in linking to you
Traffic is never going to increase your PR (page rank), it just depends if your visitors like your site and they use your link in their sites/blogs or directories. no more way to increase pr bcoz of trafic