Just to update my issue with the rough idling (10 seconds) at startup and then eventually engine would no longer start. After numerous attempt to start unsucessfully, I started having a no crank issue on top of the engine not starting. For the no crank, it turned out to be the Starter. I replaced the starter and it fixed the no crank issue. The rough idling issue and eventually engine not starting at all was with a defective fuel pump (passenger side). I replaced the fuel pump and the Voila... engine started and no more rough idling. I did go through several troubleshooting scenario before confirming a dead starter and a dead fuel pump. Hope this will help anyone with similar problems.