First, how your choke works. You have a Choke-A-Matic feature on your Pulsa-Jet carburetor. Here is how it should be set up:
[Linked Image]
It automatically pulls out the choke when you set the speed control to the choke position, and opens it when you move the speed control back to the maximum speed position. Please operate the speed control through its full range and check that this is happening correctly. If it is, please report that, and also describe any shortcomings in the way the engine starts, runs, and varies in governed speed when you operate the speed control.

I'm not an SB45 guy, but I'm used to them having a remote control fitted so you can adjust engine speed, choke, and kill switch from the handlebar. Your machine does not appear to have a remote control connected to the governor:
[Linked Image]
Note that this illustration shows a Vacu-Jet, so the choke pull-handle runs horizontally instead of vertically. Also, this version does not have Choke-A-Matic. However the purpose of the remote control is to operate the speed control lever, whether it has Choke-A-Matic or not.

Here is an SB45 with the normal remote control fitted:
[Linked Image]
The picture is of tezza98-tnharris's SB45, shown in this thread:
https://www.outdoorking-forum.com.au/forum/ubbthreads.php?ubb=showflat&Number=14957&page=5

Note that like the previous illustration, this one has a Vacu-Jet, not a Pulsa-Jet, so the engine is an 80102, not an 80202, and it did not come with a Choke-A-Matic.