LR45 PLTS SELECT THE INCORRECT PARALLEL RWY ILS APCH ON A LAPTOP COMPUTER IN TURB AND ARE VECTORED BY APCH CTL.

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BEING VECTORED FOR ILS RWY 12L AT MSP. FIRST SIGN OF TROUBLE WAS THE FMS TURNED ACFT 5 MI PRIOR TO ZASKY INTXN (AT ZASKY 300 DEG HDG) PER EAU 7 ARR. COPLT WAS PREOCCUPIED WITH FMS FAULT. CTLR THEN INFORMED US TO PLAN ON THE RWY 12L ILS (VFR CONDITIONS AT TIME). COPLT WAS RUSHED WITH FMS. SELECTED APCH PLATES ON OUR TABLET PC AND APPEARED HE SELECTED RWY 12R APCH ON OUR TABLET. HE THEN BRIEFED FOR RWY 12L APCH WITHOUT REALIZING HE SELECTED RWY 12R. HE TUNED WRONG LOC FREQ (RWY 12R). CTLR CAUGHT IT AND VECTORED US BACK TO INTERCEPT RWY 12L. HOWEVER; OUR TABLET PC WENT INTO SLEEP MODE AND THERE WAS A DELAY ON OUR PART TO BRING PC ON LINE AND SELECT RWY 12L APCH PLATE. WE ARE NEW TO THE PAPERLESS COCKPIT'S TABLET PC. WE LEARNED TODAY: 1) WHEN TURB; BE CAREFUL SELECTING APCH PLATE ON OUR TABLET PC (VERY EASY TO SELECT WRONG PLATE WHEN BEING BOUNCED AROUND). 2) REPROGRAM TABLET PC TO STAY ON OR ACTIVE FOR AT LEAST 30 MINS BEFORE GOING INTO SLEEP MODE. WE BELIEVE THE TURB WAS THE MAIN EVENT CAUSING US TO SELECT WRONG APCH PLATE FOR PARALLEL RWY APCHS.