I don't think 93 octane gas is the cause of a CEL. There is an outside chance it could be the O2 (oxygen) sensors. There are 4 of them, 2 on the headers, and 2 towards the rear of the exhaust system. If the PO used bad gas, there could be carbon build up on the sensors. Also, if you are approaching 75,000 miles or over, you might consider replacing the spark plugs, although that has nothing to do with the CEL.
However, my money is on battery or alternator. You are at the normal end of life cycle for those particular components. I'm not sure if an auto parts store can read the LR3's fault codes. It's not a fully compliant OBDII system. However, a dealer certainly can. If the parts store can read the codes, please let us know! (I never tried that approach, so Mike might be onto a really great idea here!). My normal approach was to buy several Grande Starbucks coffee's, show up early at the dealership before the service meddlers (service advisers) got in the way, and talked to the tech's direct. They like coffee in the morning, and they would hook up the IDS computer as a favor....