So glad to hear that you were able to get your monitor going, for the time being at least
One of my past lives was spent (mis-spent???) as a computer tech doing hardware repair...so to answer your question:
Refurbished - equipment that in all likely-hood does have a hardware problem. The problem is fixed either by replacing a component or assembly, then re-sold as such.
Recertified - equipment that, once a repair depot gets a hold of, is determined to have no hardware problems (it may have been returned to a retailer or manufacturer for a variety of reasons) and then is calibrated to operational status.
In both cases, you would receive fully warranted equipment.
It has been my experience, over the years, with new computers and periphials that if something is going to break it usually does so in the first 2 weeks of operation !!!
AH