1. First when doing my preride inspection the brake light does not come on when I use the front brake but it does when I use the rear.
That’s not right; get it checked.
2. I’m not sure if my throttle is closing fast enough, when I let go It just moves a bit and then stops I would have to push it forward to hear it click.
Might just need to lubricate the cable (you can buy a cable-lubing kit), or might need a new return spring.
3. The previous owner put these flush mount turn signals on the front and for some reason the left turn signal blinks twice as fast then (sic) the right.
When it blinks twice as fast on one side, it usually means that one of the bulbs on that side is out. Check that the back turn signal works on that side.
3. When riding and coming to a stop I pull the clutch in to downshift and after I let the clutch out the bike will jurk (sic).
It’s normal for a bike to slow down when you let the clutch out when down-shifting if you haven’t attempted to match the engine speed to the lower gear before letting the clutch out. You could be downshifting too early.
I would definitely have a private sale used bike inspected.