The campaign blamed the image — which was quickly deleted — on a "young intern."
Carter sought to reassure Israel and allies after an Iran nuclear deal was announced.
The Iran nuclear agreement leaves open more questions than it answers.
Rep. Jackie Speier said time is of the essence for active duty troops.
“Our issues with Iran are far from resolved," said Rep. Eliot Engel (D-N.Y.).
But the Republican leader said lawmakers will work against a bad deal.
“Whenever there is a readiness to make a deal at any cost, this is the result," he said.
A State Department spokesman said release of the emails could "chill" frank deliberations.
The Pentagon said it intends to lift the ban on transgender troops in the military.
Deliveries had been delayed due to security concerns.
A U.S. general said the new training could start in late November.
The three women remain after 19 female volunteers.
The deal should have been a treaty sent to the Senate, Rep. Michael Turner said.
State Sen. Kelli Ward has a record of "bizarre statements," a spokesman said.
"I’m concerned the redlines we drew have turned into green-lights," he said.
He said he would review the Iran deal "to make sure that it is effective and strong."
Committee will look into report that many seeking care have died.
The 159-page document covers nuclear disarmament, sanctions relief and monitoring.
"Iran has never lived up to any of its treaty obligations," he said.
About a third of veterans waiting for medical care have already died.
Officials are asking Congress to fill a $3B shortfall or see facilities close in August.
Defense Secretary Ashton Carter will set up a working group to look at the issue.
President Hassan Rouhani tweeted — then deleted — a message that a deal had been reached.
Arizona state Sen. Kelli Ward will announce her plans at a "major event" on Tuesday.