R37,38 are 0.15 ohms, they should read low. if they read lower than that, then the output transistors are shorted B-E.
don't worry much about the waveforms on Q1E or Q1C, same goes for Q2, and the Q3B and Q3E. the "signalss" in these parts of the amp are currents, not voltages, and voltage waveforms are going to look distorted.
the idle current of the output transistors is what you are measuring when you measure the voltage at R37 and R38. yes, your current is too high and is apparently about 10A. Q5 and the resistors, etc around it are your bias transistor. either the transistor or one of the resistors around it are open (or Q5 is shorted and R14 or R26 is open
Q6,7,8 are protection transistors, and since they are in full-on operation seem to be working.
ZD1 looks to be a method of protecting the input stage from large negative viltages
Q1,2 form a differential pair Q1 is the non-inverting input and Q2 is the inverting input. the current from Q1C sinks through Q3 and operates in it's linear range. as the current through Q3 changes, the current into Q3C determines the voltage at the bases of the output transistors. Q5 acts as a variable zener to keep the bases of Q9, Q10 biased between 0.7 to almost 3 volts different, while passing the AC signal to the bases of Q9,10. solve the reason for the high current in the outputs, and you'll probably solve all of the other problems
Q5 or the resistors around it are probably the key to the whole thing.