I have 2 of these little skillets. They are for 1 egg but I very successfully cook 2 at a time in these. It's only 4" across so your eggs are compact and evenly cooked...
What about a round one like this ?
https://www.ebay.com/itm/Mrs-Andersons-Baking-Mini-Cool-Round-Cooling-Rack-Heavyweight-Chrome-6/232644621297?hash=item362ab333f1:g:3twAAOSwoddaa6Lh
Congrats on finally getting it all in working order !
As for the other .. I can tell you that it is a very smart move to have 2 people when it's a single female. Having been in the business for a few years I know what can happen. We had an incident where a maintenance guy went to fix an oven...