Right. I have never hear of an Immunity agreement that leaves you with your 5th amendment right.
He can still invoke the 5th when testifying in front of Congress. He just had immunity from any type of criminal prosecution in the e-mail case. The DOJ deal and this deal are two completely different things. For instance, if there had ended up being a trial of some sort in the e-mail case that was being prosecuted by the DOJ, and he invoked 5th while testifying in that trial, then they would revoke any immunity and hammer him with any statements he may have made to them. He doesn’t have to tell Congress anything.