If I have previously been approved to reside in the R.O.C. before I was approved for the Gold Card, do I still meet the requirement of "first time residing in the R.O.C. for the purpose of work"?

If you were approved to reside in the R.O.C. before obtaining your Gold Card, and that approval was not based on work (for example, if it was for study or as a dependent), then you are exempt from the first-time approval limitation.