The connection between the base and emitter -- in one direction (forward) -- should never be above (around) 0.7 volts.
The emitter has a little arrow on the symbol. The arrow points from +ve to -ve when the Base-emitter junction is biased forward.
In this case, you measured voltages of 11V and 0V for B and E respectively. Note that the Base (E) is 11 volts more positive than the Emitter. Referring to the circuit diagram, you can see the arrow on the emitter points away from the base -- the voltage at the base is 10.3 volts higher than it should ever be.
Note that there is an alternative explanation. It may be that the connection to the emitter of H807 is broken (sue to a poor solder joint perhaps). It may be an idea to look at this, and re-solder it (it should require no more than a brief touch of a soldering iron) if it looks dodgy. Then re-measure the voltage and see if anything has changed.
Another possible problem is H806. It shows the Emitter as 6.2 volts more positive than the base. This is the reverse direction (note that the arrow points to the emitter and that end is more positive). In the reverse direction, one should not see more than a few volts as the Base-Emitter junction can be damaged if this exceeds a very small voltage (around 6 volts is common). This junction is almost certainly in "breakdown". It does not mean the transistor is being damaged (if the current is low), but it's not a happy state for the transistor.
The base of H806 should be around 0.7V more positive than the emitter, or around 1.4V above ground. Lower values are OK as it means these transistors are turned off.
If it is relatively cheap to do, I would consider replacing both transistors. If the second turns out to be faulty, another visit to the store will cost you far more than the cost of the transistor.
It looks like the collector of H805 is connected to the base of H806. The odd thing is that you show 2 different voltages for them.
What is more odd is that you show 0V on the base of H805 when the base seems to be biased by a couple of resistors from a point measured at 25V. On that point. The connection "2" measured at 25V seems to be a control input that enables or disables the output on connection "3" (alternatively it may regulate it)