What is the B+ voltage and the tube complement?
I dont think you can expect more than 4-5W out of a single bottle.
And the two stage implementation does not cater for high-gain.
The clean output power can be estimated by reding the output tube datasheet and measuring B+. Then you choose a loudspeaker with a rating about twice the power.
Regarding the impedance, you need to measure the CD resistance of the voice-coil (you must disconnect the speaker for that). The nominal impedance is about 1.2-1.5 times the DCR. Tube amps are quite tolerant regarding the actual load impedance (the impedance of a loudspeaker varies a lot with frequency).
The trem circuit operates when the jack is not shorted. The schemo a non-shorting jack so it should be on when no plug is in. It's probably faulty.
On a more general note, don't try to make it what it is not. It's a small low-power low-gain amp (really a student model) that can sound nice for clean tones. You may want to use an overdrive pedal but it won't be a Marshall.