Ok. Update: Checked the old battery and it read 13V no load, but dipped way down to 7V when I turned the engine over. I figured this might be the problem. The new battery went in and only showed 12.2v. Turn on key and ignition and it moves down to 11.8 or 11.7v. Turning the engine over it reads 10.5 or so. This all seems normal, but engine does not fire and start. IDK where to go from here. Have only ridden the bike about 20 miles since i bought it.
Sounds like you need a charge on that new battery. 12.2 V means it is only about half charged. With the starter motor drawing power, system voltage gets pulled down, perhaps far enough that the ECU decides not to play. I believe there is a lower supply voltage limit, below which the ECU will not function, which means no fuel injection, and no spark.
When you said "the FI works when the kill switch is on", did you mean that you heard the fuel pump operate, or did you somehow verify that fuel was actually being injected?
The old battery sounds like it's capacity has been reduced to the point where it's worthless.
Getting a full charge into the new battery is important. Generally a new battery requires charging before it's used. If all you have is a trickle charger, it will do the job, but it could take days. Charging at 1/10 to no more than 1/5 the ampere hour rating is best for lead acid batteries. A trickle charger might be putting out a fraction of the allowable charge rate.
The engine quitting while riding may be another issue entirely, or perhaps your charging system isn't working, and the old battery, charged up by the previous owner, got you as far as it could. You'll have to get the machine running to test the charging system.
When I'm working on a bike that I think might require a lot of cranking, I remove the bike's battery and substitute a full sized auto battery sitting next to the bike with heavy cables terminated in lugs that I can bolt onto the bikes battery cables. That way I can crank and run the headlight and other bike systems for as long as needed to figure out the problem, without running down the tiny motorcycle battery. To prevent accidents, the lugs where the bolted connection is made are insulated by rubber sleeves made from bicycle inner tubes.