There is a fairly recent thread on model 99, which has bout the same bobbin case as the 66 and there's a nice blog post on the ArchaicArcane blog, it deals with screw you should/shouldn't remove. I haven't seen any tuturial for this anywhere else. You take the bobbin case out by sliding the metal finger under the bobbin plate towards you, I'm sure you remember by now.
The lifting of the bobbin looks like it's caused by thread getting caught up. Most likely the upper thead is not doing what it should. Feed dogs can act up a bit on the 66 if it's not running smooth, it's usually parts involving the stitch length lever and parts in connection to the front rod and feed dogs under neeth. Turn the stitch length knob all the way in and out a few times and wham the machine full speed after you oil it with out being threaded.
Things to double check; needle in flat side to the right; bobbin in the correct way from which it is wound. The bobbin should turn anti-clockwise when you have pulled the thread up.