You could simply insert a Section break before your endnotes, then unlink the endnote section's headers/footers from the previous Section so the endnote section can have its own headers/footers.
For advice on inserting content after endnotes, see
Inserting material after Endnotes, especially posts #12 & #18.
As for the 'Different Odd & Even' issue, simply accept the fact that that's what you have to work with and, if necessary, insert the same header/footer material for the odd & even pages.