From my experience, RI increases roughly 10 for each game month.
Ticket prices are tied to company image; higher the CI, more you can increase ticket price without losing load factor. But it also depends on competition on each specific route - if there is no competition, you can increase the price a bit more than in case when there is a competititon, and type of seats on each specific aircraft. From what I saw, general consensus on the forum is that you can increase price 4%; beyond that, depends on these parameters.
Decrease in price does not yield a considerable increase in load factor.
The reason I got involved in this topic is actually the screenshot you posted; your long haul schedule is wrong. Whenever a route cannot fit into 24 hours, to be flown every day, you should do it with so-called 7-planes-7-days schedule; see here:
https://www.airwaysim.com/forum/index.php/topic,71633.0.htmlI mean, it's not wrong in sense that it will not work, but it's inefficient the way you did it - your planes are underutilized, see that huge blank window in your schedule, and you don't fly every day, so you leave on a table a huge chunk of demand.
The free window, turn around time, between KLAX and KDTW flights seems too short to me - make sure you increase TAT beyond minimum time, to avoid delays or even cancellations. I usually go with default TAT where delay probability is 1% plus 5 minutes, and then if I miss 20-30-40 minutes to fit the schedule, I shorten that time in all routes, usually up to 10% delay probability, not more than that.
It's not only departure between 0000 and 0455 that hurts your load factor; arrivals affect it, too; not as much as departures, but still, your arrivals at 0040 and 0425 eat a bit of load factor.
Even medium haul could be done with that 7-7 method, and cargo can be done in short haul, too, as departures/arrivals 0000-0455 do not affect cargo at all, only pax flights.
Apart from that, there are many other useful tips and tricks both in forum and in Discord group; I'd recommend to take your time and read it. I bankrupted and started from the scratch a dozen of times untill I got it all more or less right.