Few suggestions before buying new parts:
Mike, your "drop safety" or transfer bar (as I call it) does reach the firing pin when you squeeze the trigger? Can you perform this test: With one hand cock the hammer back, and then pull the trigger while sustaining the hammer so it doesn't move forward. Squeezing the trigger should make the drop safety move up and down. Keep it in the up position and use a pen or other pointy device so press the safety bar onto the firing pin, to simulate the firing action (the bar should depress the pin in all the way down). The safety bar only reaches to the middle of the firing pin and that is normal. The indentation on the pin should be no problem unless it is very deep. You may use a tool, like pliers, to rotate the firing pin (it rotates freely, no dissassembly) half a turn so the safety bar makes contact with the "untouched" portion of the firing pin.
Either way, firing pins have a limited life, and you should easily be able to buy one from Weihrauch. 9SA.20.09
http://www.me-sportwaffen.de/instructions_de/324102.pdf
Dissambly is very easy, simple unscrew the cap that hold the firing pin, but be very careful, the spring below the firing pin is extremely small and may jump out, and get lost. When you put it back together make sure the cap is on tight.
Please let me know if this helps you