Fired empties will stick in the chamber when re-chambered. That is normal.
Not ejecting is your problem.
If the rifle is new (sounds like?) lube the BCG really well. Run it wet.
You may have a simple "break in" to deal with, or you may have a "gas flow" problem. Might be something rubbing, too? You should not need to lube the buffer spring, they are typically run dry.
How does it feel when you slowly hand cycle the action?
"Obama has ordered the launching of more Tomahawk cruise missiles than All the other Nobel Peace Prize winners combined."