You had asked about fuel. I primarily use unleaded. I tested premium once.
87 octane provided me with 29.6 MPG. The next tank: 92 non-oxygenated octane provided me with 31.4 MPG. Higher octane cost me 5.67% more. Mileage improved by 6.08% more.
* Though the driving route, weather, and driver were not the same. I did use the same station's gas. * So this was just a rough test to see what could happen.
I'm hoping for something a bit more accurate. Monday I filled up on the way to work. I hope to refill on the end of the day Friday. I might make a couple of small trips but I'm trying to keep the routes as similar as possible, while not majorly impacting my life. Also, I'm just driving 'normal' without going out of my way to be excessive on the hypermilling. I estimate I'm getting about 29MPG. Using my car's estimate minus the error it seems to have.
The next tank on Premium might be a few weeks later. The reason is a combination of miles and timing. I'm unlikely to empty the tank by Friday. Which means I can't test next week. And the week after is broken up by July 4th. The next 'similar' week would be the week of July 9th. So I'm hoping to empty the tank before the 9th, fill up with premium, drive a bit and top off with premium on the morning of July 9th. I want as much 87 octane out of there as possible.
And to your list -
1) Yes inflate your tires more. I haven't done that yet, I make sure they're what the door.
2) Certain gas may make a difference. I think I see a difference (read lower) with Holiday's Blue Planet. It's supposed to be some environmentally friendly but 'Top Tier' product. My old 99 Ford Mustang Cobra definitely did worse on their gas. It appears the Kizzy may not like their base 87 either. Though - driving habits and route are typically not the same so it can be tricky to truly identify a station is giving you worse MPG.
3) Shed some pounds - well last year I was 50 pounds heavier. I guess it doesn't count if I shed the weight before I bought the Kizashi. I should have bought the car first.

Certainly weight acts against the best MPG. One hypermilling trick is to only fill the tank up to 1/2. So the Kizzy would have between 0 and 7 gallons at any one time. So 8 gallons low saves you about 48 pounds. The problem is MPG is harder to determine when doing this. Of course dropping the tire, carry a can-o-fixit or AAA membership, saves some weight. And certainly carrying no passengers can help, and you can then remove the back seat to save more weight.
I just carried five 40 pound bags of dog food in my trunk. The increased junk in my trunk made a noticeable handling difference. Not sure on the MPG as it wasn't that far. But, from the instant MPG meter I think it did worse than it did without that weight all in the back.
4) Cruise is indeed your friend.
I'll add - less stops and fewer starts is always good. Mainly highway driving will return better mileage for you than mainly city driving. I spent a heavy weekend in city traffic. I also did a Sprint Triathlon that weekend so I was toting a bike on the back everywhere. I think it was my lowest MPG rating. Probably 23-25 area. Sorry, I didn't commit this # to memory.