How soft? Is it somewhat rigid or almost fabric-like? Are the holes clear cuts or is there anything missing?
Please do post a picture!
I think I would reinforce it with fibreglass form the inside:
I would first straighten anything that has buckled inward. I wouldn't use heat, as heat sometimes can make plastic shrink, and then you'll not be able to close the hole.
Then tape the outside of the hole with clear wide packing tape, and pull the ends together so that there are no gaps - and also no overlaps.
Then reinforce the inside of the hole with a patch of fibreglass: If necessary, make a template of paper to the size of shape of the patch you'll need. You won't need to make it too exact: because the result won't be anyway.
For reinforcing small parts, I buy fibreglass strips, which I cut lengths of, because strips tend to have edges that don't fray.
Mix a tiny amount of slow-curing epoxy and apply a thin layer inside the mask. I would recommend an epoxy with 1:1 ratio, and which where uncured epoxy could be cleaned away with water.
To avoid getting epoxy on my fingers, and because fibreglass weave is flimsy and difficult and frays easily, I tend to tape it with clear packing tape. Then place it where it should be and press firmly through the tape to make sure that the piece of fibreglass weave gets attached properly without bubbles. Epoxy does not need air to cure.
When it has cured, remove all tape. If necessary, apply more layers of epoxy and fibreglass.