The optimum coil s 5.0ohms. You can check yours with a meter or research what they are. Lower ohm coils will work, but they put a strain on the charging system without really adding a great deal of performance improvement. You can add resistors to your setup to increase their ohm rating without swapping them, but see how your bike runs before changing it.
As for the carbs, stock main jets should be 100s give or take. Probably 105s would be plenty, but you next o verify where things are first. Plug chops would be the best approach. Start with an idle chop (fresh clean plugs installed into a warm engine). Let idle for 3 minutes with NO throttle or choke. KILL the motor and pull the plugs and post pictures of them.
Once you have the idle circuits set properly, go for a ride with fresh plugs. Find a place to make a spirited, wide open throttle run in 3-4th gear minimum (choose safety over speed here). Pull in the clutch, kill the engine, coast safely to the roadside. Pull the plugs and post pictures.
Main jets can be changed without pulling the carbs, but with a stock airbox it's not easy.
If you push START and don't hear the solenoid click, then try a screwdriver across the 2 large poles. MAKE SURE THE BIKE IS IN NEUTRAL and pointed in a safe direction. With the key on, RUN position, try the screwdriver. If that trips the starter motor, then you probably need to turn some attention to the solenoid. It could be a bad push button, wiring, a dirty contact on the back of the starter....