Ok, the shortcut issue can be because something else running in your system is hooking that particular shortcut. Also a particular game may be disabling all external shortcuts. Try changing to another shortcut to troubleshoot.
Regarding the in-game overlay, applications that produce overlays can conflict with one another due to the way they hook into the DirectX libraries in order to produce the Overlay. Other examples of applications that can cause problems are Injectors such as ENBSeries graphics enhacements, SweetFX shader suite, SMAA and FXAA injectors etc etc. Basically anything that hooks into graphic API libraries.
By your description of the issue I'm willing to bet it's one of these two things (or both at the same time):
1) Something interfering with Sonic Radar (Not AI Suite though. Must be something overlay or graphics related).
2) Something in your Windows installation is corrupted (can be anything from drivers to libraries).