DAD M021 DEP TAXIED VIA WRONG RTE REQUIRING ACFT SHUT DOWN TO TURN AROUND. AFTER DEP ATC ISSUES ALNOT.

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WE HAD RECEIVED OUR IFR CLRNC AND TAXI INSTRUCTIONS. WE WERE PARKED AT AN FBO. THERE WAS HVY TFC. OUR TAXI INSTRUCTIONS HAD US GO FROM THE RAMP AREA TO RWY 7R VIA W; HOLD SHORT OF RWY 7L. HOLDING SHORT OF RWY 7L; WE RECEIVED INSTRUCTIONS TO CROSS RWY 7L AND CONTINUE TO RWY 7R. UPON REACHING THE SIGN FOR TXWY S; WE TURNED R. THIS WAS; IN FACT; TXWY W2; WHICH WAS IN A BAD STATE OF REPAIR. WE STOPPED IMMEDIATELY AND NOTIFIED THE GND CTLR. THE GND CTLR ASKED IF WE COULD TURN AROUND. WE SAID THAT WE WOULD HAVE TO SHUT DOWN AND MANUALLY TURN THE ACFT AROUND. THE CTLR INSTRUCTED US TO DO SO AND TO CONTACT HER WHEN WE WERE READY TO CONTINUE. WE SHUT DOWN; PUSHED THE ACFT AROUND AND RE-STARTED WITHOUT INCIDENT. WE NOTIFIED GND CTL AND WERE GIVEN OUR CLRNC TO CONTINUE TAXI TO RWY 7R. UPON REACHING RWY 7R; WE DID A NORMAL RUN-UP; REQUESTED AND RECEIVED OUR IFR TKOF CLRNC. IN FLT; WE WERE QUERIED BY ATC AS TO OUR POINT OF ORIGIN; THE NUMBER OF SOULS ON BOARD; AND DEST OF THE ACFT (ALL AVAILABLE ON OUR IFR FLT PLAN). WE PROVIDED THE INFO AND ASKED THE PURPOSE OF THE QUESTIONS. OUR REPLY WAS THAT IT WAS DIRECTED BY THE ATC SUPVR. UPON OUR ARR AT OUR DEST (LAL); WE WERE TOLD TO CONTACT DAYTONA ATC. THE CALL TO ATC WAS JUST TO CONFIRM THE INFO THAT WE PROVIDED OVER THE RADIO. WITHIN A FEW MINS; WE WERE APCHED BY A POLICE OFFICER THAT WAS LOOKING FOR OUR ACFT DUE TO AN ALNOT. HE STATED THAT ATC LOST CONTACT WITH OUR ACFT. WE DID NOT FEEL THAT THIS WAS POSSIBLE; SINCE WE WERE IN DIRECT CONTACT WITH ATC AT ALL TIMES. HE NEXT STATED THAT BECAUSE WE SHUT DOWN OUR ACFT WHILE TAXIING; WE VIOLATED SECURITY PROCS AT DAB. WE WERE NOT AWARE OF ANY SUCH PROCS AT DAB AND WERE IN CONTACT WITH ATC AT ALL TIMES. OTHER THAN TURNING AT THE WRONG TXWY (THE SIGNAGE WAS PRIOR TO THE CORRECT TXWY); WE ADHERED TO OUR GND AND FLT CLRNCS. THERE WERE 2 QUALIFIED PLTS ON BOARD. WE HAD OUR TAXI DIAGRAM OUT AND HAD DISCUSSED THE RTE WE WERE ASSIGNED AS WELL AS THE ADDITIONAL TXWY AT W2. WE WERE BOTH IN AGREEMENT THAT THE SIGN IDENTING TXWY S WAS POSTED BEYOND THE TXWY (INCORRECT -- THE TXWY SIGN WAS POSTED JUST PRIOR TO THE STATED TXWY). THIS INCIDENT COULD HAVE BEEN PREVENTED BY REMOVING THE PAINTED TAXI STRIPE FOR TXWY W2 AS THE TXWY IS NOT IN USE. I DO NOT UNDERSTAND WHY ATC NEEDED THE FLT INFO THAT WAS AVAILABLE ON THE FLT PLAN; NOR DO I UNDERSTAND WHY THE POLICE WERE INVOLVED IN GATHERING THIS INFO. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: THE RPTR CONFIRMED THAT THE TURN ONTO THE INCORRECT TXWY WAS VERY CLOSE TO THE CTL TWR AND MAY HAVE PENETRATED A SECURITY PERIMETER BOUNDARY. SOME MISUNDERSTANDING WITH REGARD TO THE ALNOT MAY ALSO HAVE TAKEN PLACE; IE; THE SECURITY OFFICER AND OR THE RPTR MAY HAVE MISUNDERSTOOD OR USED THE TERM INCORRECTLY.