I have a similar problem except the crosshair doesn't show up and my spells or arrows shoot in the complete wrong direction. For instance I'd be aiming a bow at a dragon's head and I'd shoot and my arrow literally goes left instead of forward. The only way I've been able to fix it is to kill my enemy with a sword then fast travel to three random places on the map. At the third place save the game, exit the game, relaunch the game, and load that save. it's a typical glitch. However what I did to fix mine might not work to fix yours but it's worth a shot. Just know that when you do fix it the glitch may happen again. My glitch will happen randomly so there's no telling when it will happen again. I don't have or know of any fix that will stop these glitches permanently. I can say that the glitch might be a result of a mod....or it might not be.