This order of actions is correct?

http://files.geekdo.com/geekfile_download.php?filetype=application%2Fpdf&filename=Timing+Sequence+for+Lord+of+the+Rings+LCR2.pdf&filecode=773izoqmcv&validationcode=744bb8018baadbbef6fca1560c28faf4

It looks like your link is expired or invalid..

is the first file of this page

http://boardgamegeek.com/filepage/66224/timing-sequence-for-lord-of-the-rings-lcg

Seems very accurate to me.

EDIT: I guess the white boxes are always "Player action" steps regardless of the text inside them, so the Quest phase does look correct