You're free to do a non-action, as stated by the SRD:
'The only movement you can take during a full attack is a 5-foot step. You may take the step before, after, or between your attacks.'
And a 5-foot step is a non-action.
But you're also capable of using a free or swift action when making a full attack, seeing as drawing an arrow is a free action and allows a bow user to make several attacks with a full attack. If you weren't able to do so, archers wouldn't be able to attack several times a round.
So that's a yes, you 'may' make a full attack action after using Shadow Pounce, and you can 5-foot step either before, between, or after the full attack. Same with free actions, though I'm not entirely certain if you can take a swift action between attacks. I'd guess no to that one though, but it doesn't stop you from using a swift action either before or after.