What was found
ON TAKEOFF ROLL DURING LIFT OFF/ROTATION, CREW FELT A VIBRATION SIMILAR TO A NOSE WHEEL OUT OF BALANCE. DURING CLIMBOUT, AUTO SLAT DEPLOY LIGHT AND INABILITY TO RETRACT GEAR WAS EXPERIENCED. CHECK LIST FOLLOWED AND UNSCHEDULED LANDING PERFORMED WITHOUT INCIDENT. AFTER EXITING THE RUNWAY, BRAKING CONTROL WAS LOST DURING TAXI, EMERGENCY BRAKE WAS USED FOR FINAL STOP. MAINTENANCE EVALUATION FOUND NR 2 TIRE BLOWN - TIRE DEBRIS ALSO DAMAGED HYDRAULIC BRAKE LINES AND ELECTRICAL HARNESS ON STRUT.