I've served on the postdoc hiring committee at Rice for several years and am chair of it this year. My answers are geared to research-oriented postdoc applications.
For question (1), it is fine to include extra letters of recommendation, but don't go nuts. We ask for 3 including a teaching letter, but most of our applicants include 3-4 research letters plus a teaching letter. A letter from someone that doesn't know you very well is damaging to your application (so don't sacrifice quality for quantity), and if you get more than 4 research letters and 1 teaching letter then it starts to look weird.
However, don't include things like teaching evaluations we don't ask for. We don't read them and make an effort not to let them influence our decisions, but it does look a little weird.
For question (2), just include a list of publications excerpted from your cv (to emphasize, this list should also be in your cv). To be honest, I'm not really sure why we ask for a separate list of publications and we don't really look at it; probably it is there because of some decision made by a hiring committee long ago, and inertia is a powerful force.
As far as your unnumbered question, a member of our committee does actually read every application. The first read (to form a long list of people who are read more carefully) is quick, but it does happen. The most important things we look at in the first round are research area (to make sure it is at least vaguely related to someone in the department) and the research letters (both who they are from and what they say).