Give us models off of the Reg/Rect if they are not clearly visible in the picture when enlarged. Is it running stock coils or are they something else. A peek at them would be good. They are up under your tank on the backbone. Going to need to check them to see if they are 3 ohm or 5 ohm coils. That with lower revs can be enough to cause issues too. Pull your headlight and check the bulb to find out the size headlamp wattage you are running.
While LED headlamp bulbs in a stock housing are not legal, that could be a way to have a 25W bulb with high output, if it focuses the light in a usable way for your reflector. Otherwise, putting a new LED headlight in when you have sorted out the rest of the system is a good idea.
I wonder if the stock components were relocated under the tail cowl or he replaced the reg/rect. with an aftermarket unit.
If aftermarket, I hope it has survived. Running known good wiring from the alt. coils or isolating that wiring and running voltage checks on it will tell you if you have resistance in those circuits. Vintage Connections has a good quality crimper for mechanical ratcheting crimps that are gas tight and do not require soldering. Superior to soldering. They have connectors if you want to use the stock bullet connectors which work well when clean.
Scott and others can guide you well and we can help you figure out where things are sideways on your bike.
Hopefully it is kick starting very easily in the mornings. Being in warm LA area, is a positive in that regard. If it is in good tune it should be kick starting very easily.
Charging your battery to full charge and putting it on a battery maintainer is advised if you are only taking short hops of 10 minutes. Hopefully you are able to do this.
What brand battery did you purchase?
Time to get a book to document what you find about your bike and to take notes on what you change and what components are on the bike. It can help you in the long run.
Nice bike.
Welcome to the SOHC/4 family.
As you have seen we have our dysfunctional relationships as evidenced in your thread already. Most everyone wants to be helpful though.
Just disregard the bickering.