Yes they are the notches.
Assuming that the vane and the thermostat are in rest position and the engine is cold then it does look close to the correct adjustment.
The top of the thermostat may require a slight adjustment from right to left in the pic so the curved edge is in between the notches.
You then push it in to engine or out of engine to line up with the other notches.
It does not hook onto anything.
When you push the thermostat to open the choke, when you let go it should then spring back to close choke.
Its quite a simple design but adjustment has to be right.
I still think you may have a spark issue.