A BAE3200 FLC IN STL EXPERIENCES AN UNAUTH RWY ENTRY WHILE ATTEMPTING TO DEAL WITH THE AFTERMATH OF AN ABORTED TKOF.

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TKOF ROLL WAS STARTED ON RWY 31. SOON AFTER PWR APPLICATION; THE R TORQUE GAUGE FAILED. I ABORTED THE TKOF. THE FO NOTIFIED TWR AND WE WERE GIVEN INSTRUCTIONS TO CONTINUE DOWN THE RWY TO TXWY B AND HOLD SHORT OF RWY 30R. WE TURNED OFF ON TXWY B AND TAXIED ACROSS THE HOLD SHORT LINE FOR RWY 30R. TWR CALLED AND TOLD US AGAIN TO HOLD SHORT; WHICH WE DID -- SHORT OF THE RWY; BUT ACROSS THE HOLD SHORT LINE. AT THIS POINT AN ACFT ON FINAL FOR RWY 30R WAS INSTRUCTED TO GAR. I BELIEVE THIS HAPPENED BECAUSE MY ATTN WAS SPLIT BTWN THE TWR CTLR; TORQUE GAUGE AND INSTRUCTING THE FO TO CALL COMPANY. ALSO; MANY TIMES WHEN LNDG ON RWY 30R; WE ARE TOLD TO EXIT THE RWY AND HOLD SHORT OF RWY 30L ON TXWY B. I HAD SHORT OF RWY 30L ON MY MIND; NOT RWY 30R. PLAIN AND SIMPLE -- THIS HAPPENED BECAUSE I WAS TRYING TO DO TOO MUCH AT ONCE. IN THE FUTURE; I WILL CLR ALL RWYS AND TXWYS BEFORE BEGINNING ANY DUTIES THAT WOULD DIVERT MY ATTN FROM THE TASK AT HAND OF CTLING A MOVING ACFT. SUPPLEMENTAL INFO FROM ACN 403848: EXITING RWY 31; I WAS BUSY FOLLOWING THE CAPT'S INSTRUCTIONS AFTER ABORTING. I LOOKED UP AND SAW WE WERE GOING TO CROSS RWY 30R SO I STARTED APPLYING BRAKES. THE TWR INSTRUCTED US TO CROSS IMMEDIATELY; AND FOR THE LNDG ACFT TO GAR. TO PREVENT THIS SIT FROM HAPPENING AGAIN; I WILL BE 'OUTSIDE THE ACFT' 50 YARDS PRIOR TO THE HOLD SHORT LINE TO ENSURE THE PIC IS GOING TO HOLD SHORT; AND XCHK THAT THE OTHER PLT ALSO HEARD THE HOLD SHORT INSTRUCTION THAT I READ BACK.