Goo in the muffler is not unusual
It is a sign of a failing ignition or more commonly an owner running a mix with too much oil.
Take the entire muffler off and have a look at the exhaust port chances are you will find it partially blocked with carbon which will need to be removed.
As for the head not spinning.
Could be the clutch or the gearbox if it is a strait shaft trimer.
A clutch is not a difficult repair anda gear box is an expensive repair.