Yes they will know your URNU history, yes they will know you were kicked out for being a tw*t, yes they'll expect you to defend yourself and illustrate ways in which you've changed, grown, found yourself, and so on.
One foot wrong with the truth about what happened (and by this I mean your URNU boss's version) and they'll all smell it a mile away. At that point you can kiss your AIB and any chance of an invite back goodbye. Personally I'd be very keen to hear you talk your way around it in the interview...