Southwest announced that for the first time in its 54-year history, its customers will no longer be "allowed two free checked bags."

Southwest Airlines passengers who book before May 28 can still avoid checked bag fees, before the big change takes effect.

An anti-abortion Christian flight attendant asked the Fifth Circuit on Thursday to amend its ruling nixing religious-liberty training for three Southwest Airlines Co. lawyers to clarify that the rest of a lower court’s sanction order still stands.

Southwest Airlines ( LUV -1.04%) has not yet seen a rebound in demand for travel, disappointing investors who had been hoping for a quick turnaround. Southwest shares fell as much as 4.5% when comments were made by the company's CFO before rebounding somewhat and trading down 1% as of 2:30 p.m. ET.

Southwest Airlines Co. continues to see softness in air travel demand that emerged earlier this year and pushed many carriers to pull back their profit forecasts.