>How is the clergy organized, if there is one?
There are Fanes, Temples, and Priories. Fanes and Temples will have a high priest (or priestess), Priories will have a brother or sister that is view as the head, normally the most senior one that is still healthy.
Each temple and so on will have there own organization. Also each temple provides "wanderers" who travel to do priestly duties away from the temples. Sometimes they end serving a area for many years, and sometimes they go on adventures...
>What do people believe happens to them after death? How, if at all, can they influence this?
Elves believe that they go to the high heavens. Most humans believe that if they follow their general religious duties the gods will make them into a type of angel. Great people are made into saints.
Dwarves think they return to the unity of their god, unless they are great, then there soul fragment will be returned to be resurrected.
>What happens to those who disagree with the majority on questions of religion?
About 5% in human/elves do no share the majority view on faith. It depends on what faith they choose. there are "Sects" which are odd faiths that do not agree with the current framework. They are thought of as misguided souls, but mostly harmless unless that sect starts to recruit powerful people.
"Cults" have a specific term to followers of "
Haraindiko" (Demons), These cults are secretive, as people assume that people get sacrificed and all sorts of evil stuff.
>What do people want from the god or gods? How do they try and get it?
What anyone wants, a healthy kids, good crops, a good spouse, to a deeper understanding on the universe