Rep. Frank Wolf (R-Va.) on Tuesday called on Attorney General Eric Holder to investigate the beheading in Oklahoma as a case of terrorism instead of workplace violence.
"An internal investigation by the Secret Service is not sufficient," Issa said.
"It's clear that our security plan was not properly executed," Julia Pierson said.
Most members are back in their districts campaigning.
House and Senate Illinois Democratic lawmakers requested an investigation of the Federal Aviation Administration's security procedures at air traffic control facilities following two fires.
Rep. Walter Jones (R-N.C.) on Monday urged Speaker John Boehner (R-Ohio) to schedule a vote to authorize the use of military force in Iraq and Syria following the midterm elections.
House Homeland Security Committee Chairman Michael McCaul (R-Texas) on Monday demanded a review from the Secret Service on its White House security procedures.
GOP control of Congress would mean more gridlock, confrontation and partisanship, Hoyer said.
Cristina Marcos 09/29/14 12:31 PM EDT
Hoyer says lame-duck lawmakers have as much a responsibility for vote as new Congress.
A report said the U.S. might allow Iran to keep nearly half of its centrifuges.