Nagging problems-'02 Cad. SLS-35,000mi

cadillac
seville

#1

Front end vibration@65+mph. Had wheels balanced-still vibrates. Told new tires would fix-didn’t. Steering linlage checks ok. Starter clicking. Battery checks ok.(18 mo. old-6yr batt.)60% of time it’s ok. Engine serv.light on. Trans sens stuck. Rbld trans ?