Any effects that applied to Shifting Woodland before it becomes a copy of another card will continue to apply after it becomes a copy. The same is true of any counters that are on Shifting Woodland.

If a card in your graveyard has  in its mana cost, X is considered to be 0.

You must already control a Forest as Shifting Woodland enters the battlefield for it to enter untapped. If it enters the battlefield at the same time as a Forest when you control no other Forests, it will enter tapped.

Because Shifting Woodland isn't entering the battlefield when it becomes a copy of a card, any "When [this creature] enters the battlefield" or "[This creature] enters the battlefield with" abilities of the copied card won't apply.

Shifting Woodland copies exactly what was printed on the original card and nothing else. It doesn't copy any information about the object the card was before it was put into your graveyard.