I dont know about broken bones and using them..But i wouldnt recomend them anyway..

I have had the everlast gel wraps before and they are indeed great for padding.. But they also have other problems such as..They are very tight and it restricts your bloodflow ive taken my gloves off before cos i had numb fingers.. They dont tend to stretch after a period they kinda rip and lose tightness without fitting still..
The knuckle padding rips and tears etc..
They really arent entirely that comfortable in my honest opinion..

As far as your finger goes.. Im not sure..Just be sure your wrapping your hands properly..Throwing your punches properly and look after your hands out side of training best you can...
In all fairness it was probably a one off and may not bother you again after it heels..Everyone is different..
Good luck

Bodyhead.