The throttle cable attaches to the knob sticking up from the gear in your second photo.. You need the bracket that is forward of the gear. Once again these are just examples and may not be exact to your motor..
Okay sorry when you said you where turning the prop for shifting I thought the problem was when the motor was not running. Give your serial number and maybe someone can help you.
If it shifts well while running then it should be okay.. If not running you need to rotate prop while shifting or risk damaging something inside the gearcase.
No that's the correct one they been using it since 1980. If you don't believe me just ask racerone.. He knows everything. Just disregard where it says 1999 through 2004 models.