RE: Flame out
Sometimes they just get a low speed compressor stall, once they start to slow down they over compensate and slow down too much especially if the airflow through the compressor is turbulant or slow due to flight angle, direction, slip or skid, but check your fuel lines for any air leaks, as I said above put an idle up on the UC retract switch it may well help with what may be a odd airflow instaltion.
Mike