Since your about to dive into the wonderful world of ST maintenance, I’ll explain a few of John’s comments.
Place your foot on the rear wheel and push down quickly and firmly one time.
Your rear wheel should turn at least 1 1/2 full turns, as pointed out, if it does not, you will probably find SMC issues.
The SMC should not be rebuilt as it’s the screen cartridge, and small return ports that get clogged, as well as damage to the bore that your not likely to notice by looking at it.
You would need to measure it etc.
The windows on both the master cylinder housings can be very misleading, don’t assume the fluid is ok by the color, remove the cover, plastic, and diaphragm to observe the sludge that is hiding below the level of the window, as this is what is probably also hiding in the slave cylinder.
Tupperware can be replaced on bikes, to hide damage.
As John pointed out, the damage on the crash bars, looks like it may have been in one too many rodeos, or a training bike.
Damage that bad will usually cause damage to the aluminum frame, be sure to inspect all the mounting points etc.
The long time duration of the enrichment circuit indicates a failing t-stat.
You’re probably gonna find it stuck fully open, or corrosion on the barrel with shiny scrape marks.
You will also want to remove the black paint (overspray) inside the radiator pipes, as it’s known to clog up the idle wax pipe etc.
You should also replace the vacuum hoses and clean the five way tee, and do a starter valve sync, as well as a counter balance adjustment, to have it running its best.
As pointed out, you should inspect the rear splines, o-rings, and driven bearings on the spline plate.
These often need replacement every other tire change on bikes ridden normally, yours is a police bike.
The Honda M77 assembly paste tha the shops currently use, is not the correct product to protect the splines and dries up into little beads and falls away, causing damage to the splines.
And many shops just use grease or your red lube which is NOT good on these Honda’s.
I can’t tell from your video, but you will want to remove the lower cowls, and nose cowl and inspect for coolant leaks,
It looks awfully dark there.
These bikes will run amazing mileage, when properly taken care of and set up, but almost every auction bike will be found to have several of these issues.
Fear not, they are easy enough to correct, if they are found and corrected early.
I will attempt to provide a couple pictures of damage you will want to look for.
Hope this helps you turn this project into a bike you will enjoy for years to come.