Assuming that I am a Quake (or even CS player), my questions are:

1- It is true that if I use a low screen resolution
(640x480 or 800x600), my aim may be less accurate?

2- Use low-res screen interferes with the choice of an appropriate sensitivity?

3- Use low DPI mouse is suitable for low resolution screens? It improves my accuracy?

Other stuff questions:
4- Use USB 500hz in my input mouse further improves my accuracy and speed of response of my action of pressing the button to shoot?

Thanks in advance! :)