i like sumitomo tires. ive ran a ton of them and tbeyre tbe best cheap tires around.. ive even hammered them on the track and beat many cars. i have a set of HTR+'s on right now, and they never let me down. they dont have a good max summer performance tire, i wont run those either, and thats a whole different rant
kumhos suck.. every kumho ive used has let me down. they make good racing tires and thats about it. the MX is supposed to be decent, but for the price you can run better tires.. so again, suckage.
beyond that.. you have a ton of issues. fix all your issues, get aligned, and see how the car handles after that. especially with suspension and handling concerns, you MUST fix everything you know is broken before diagnosing anything. the next step after that is checking every component for proper operation and no play. once thats inline you have to align it.. 95% of the time that fixes everything. genuine tire problems are uncommon.