Welcome and congrats on the ride.
With regards to your handling questions; that's the nature of the beast with a FWD car. FWD vehicles have a tendency to understeer and plow in corners. Making the traction wheels also serve as the steering wheels with the engine sitting right on top... well, you just can't beat physics.
You can't do too much to solve your problem unless you start changing your driving style, tires, and ultimately major suspension components. You could try learning how to trail brake and modulate throttle to get the car to rotate around an apex. You could also start with changing out your rear sway bar to something stiffer and adjustable. Finding a way to increase camber at the front would be beneficial as well. In the end, there's a lot to be said about changing suspension components and therefore modifying suspension geometry to achieve your desired goal.
