I've recently asked the same question but haven't gotten any replies yet.
The problem I am having is that my "XY Event Source" labels do not work when I convert them to shapefiles.
When I click "Label Features", my points in the shapefiles display a bunch of question marks (?).
I am using the Pigiarniq font which I have downloaded on my computer.
Even when I change the "Text Symbol" from the "Layer Properties" to Pigiarniq font instead of Arial, it comes up as question marks (?).
BTW, this is for ArcMap 10.2