Namaste Elizabeth May,
thanks for the post.
i shall have to be general when aswering your questions at this point... we can discuss particulars afterwards, if you'd like.
there are three main Vehicles in Buddhism (vehicle is a way of saying "school") Hinyana, Mahayana and Vajrayana.
Hinyana, of which the Theravedan sect is extant, is known as the "lesser" vehicle. this is mainly due to it's concern with the monastic rather than the laiety.
Mahayana, of which Zen is a sect of, is known as the "greater" vehicle. this is mainly due to it's concern with both the monastic and the laiety.
Vajrayana, is known as the "diamond or adamentine" vehicle. this is maninly due to it's concerns with actualizing the full potential of buddha-hood in this life time.
these three main schools of Buddhism hold sway in different areas.. Tibet, Bhutan, Nepal, Mongolia, Sikkum and other Himalayan countries practice the Vajrayana school.
Malaysia and the other S.E. Asian countries typically practice the Hinyana school, though that's not strictly the case.
In India, Buddhism is virtually non-existent.. though since the Tibetan diaspora, that is changing.
China, Japan, Korea and others practice the Mahayana school.
Zen, is usally found in two flavors... Soto and Rinzai. Zen is the same sect as Ch'an... Zen is the Japanese name
Zen is a Mahayana sect and as such, they practice according to the Second Turning of the Wheel of Dharma.
the Buddha is not worshipped as a god, though that is sometimes difficult to tell since there are statues and so forth of him all over the temples and whatnot.
the Buddha was a man, a normal human being, like you and i. and what he did, we can do as well. so... all the schools hold him in very high regard and, it should be noted, some people do worship Buddha.. though that is really more of a cultural thing than a teaching of Buddhism.
i hope that this helps answer some of your questions.. if you have about the information presented here, or otherwise, please ask and i'll do my best to give you a reasonably intelligent answer.