-) That "batt" switch just acts as battery tester. When pressed, the red LED above lights up for a second or so.
Continous, or repetitive pushing will neither switch-on or -off the flash.
-)
I think the problem is in the board if the M/A switch in the picture is in the manual position and Auto shouldn't be active at all.
What you see lighting green is the "ON" indicator lamp
within that start-up push button (though it does not switch off the flash...)
That green LED
above that switch is the light indicator for "enough light-output for automatic exposure".
Automatic-exposure mode is indicated by lighting of the one of the five LED's at the aperture setting.
-)
The 90sec delay is an automatic off feature and is normal.
I consider that rather short. As it blocks the triggering of the flash. I experience a lot of situations where I wait between exposures, for instance for a fine situation, much longer than. Seeing that situation but before relasing the shutter to take the eye off the finder to push that switch, or to fumble for it is most impractical.
This rather makes me think something is wrong within in the circuit (too fast automatic (partial) shutdown, no manual full shutdown.)
-) Yes, I considered installing a main switch (just behind the battery pack) myself.
But with this fast automatic partial shutdown I rather use it as accessory flash in sklave mode, where a proper main switch would not be necessary.