Ad 1. Yes there is. In fact, there is a specific style for it: oeb-page-head and oeb-page-foot. However, most (all?) reading applications are ignoring it.
Ad 3. No, they are specifc for Adobe. But it will not result in a header or footer anyway.
Where is your number 2?
Creator and maintainer of the e-Book Tools
Word add-in. Also see thread
here on Mobileread.
Creator and maintainer of the Clean HTML macro
for MS Word.