Hi Tyler,
Have a look at this diagrahm and you will see item 22 which you will need to remove in order to get to the check valve and replace the 'O" ring to stop the leaking.
This isthe link:
https://www.outdoorking-forum.com.au/forum/ubbthreads.php/topics/5408/tanaka-brushcutters.html#Post5408It has been a long time since I have worked on one but I think that the knob might be threaded.
From memory to shut the fuel off you need to push it up and the run position is down.