For travel on Leap Day only, which is a Monday so this could be part of a long weekend. No flights to or from Austin are on the list. One-way only.
http://www.jetblue.com/deals/leap-day/?intcmp=LeapDaySale
The Points Guy calls them “$28 flights”.
http://thepointsguy.com/2016/02/deal-alert-fly-jetblue-for-29-on-leap-day/