You don't need to remove the cover in order to get the pump out. In order to remove the cover, you'll also need to remove the oil
pan. At least it is was the case in my 3jh4e a couple of weeks ago.
As a fact, we had remove the pump first so we can remove the cover. Be very careful by locating all the bolts in the pump, spe ially one located on the lower part of the pump, and next to the engine
block. Hope this helps! MS