Listing Categories

I’m using custom posts to display lets say ‘websites’
each post is given a rating with the wp-postratings plugin,
I want to create a page on which will have a list of categories:
Alphabetically (A-Z)
by rating (1 stars, 2stars, 3stars, etc)
by wether the site is recruiting or not.
and by other categories.

Can i add multiple categories to a post?
I have created an archive custom page on which posts simply show in a list from A-Z but i want it to be more specific.

The user clicks on ‘A’ all posts beginning with ‘A’ show on the same page or a new page and so on for every category.

I’m new to wordpress development so i’m not sure how this is done,
will i have to create a new custom page for each category
or is there a much more simpler way to do it?

Thanks
Daniel