What does the team do with their jerseys? Do they auction them off in the arena or online after the season is over? any details would be appreciated.

As you may know there are three jerseys a season. Home, Away and the 3rd jersey.
The player picks a jersey they wish to keep, one goes to the STH party to be auctioned and one goes up on ebay for auction.
There are also special jerseys through out the year that are auctioned at games.

what ebay name do they use? WichitaThunder?

To tell the truth I am not sure. But would suggest that wait until the season is over, the auction start is normally announced on the forum.

Typically every year there are 3 jerseys. However, this year they only have a home and a road. The years there are 3 jerseys the players get to keep one, auction 1 of the jerseys off at the Season Ticket Holders party and then the other 1 goes on ebay. With only home and away jerseys this year, it would be hard to speculate which auction they would cut out.