So while driving I noticed in the top right corner of the Navi screen a messages icon. When I clicked on it, it showed all of the errors in the car which I've attached. My issue is , the car drives well to my knowledge. It shifts smooth , no knocking sounds or weird noises. Only thing I can say is when I put the car into D it vibrates slightly, but it doesn't affect the way that the car drives. I'll try and put a video up when I get a chance. Any help would be appreciated

 

Also I believe I read somewhere that their was a known issue causing the "tighten fuel cap" error which I keep getting. Is their a way to fix this?

 

if there's an option to clear those messages, clear them.
replace the evap purge valve to fix the gas cap

 

Also check your battery output while on and off. If the battery is more than 3 years old, just replace it, then clear the codes per justn above.
The TL is sensitive to dying batteries and can toss out numerous unrelated error codes as a result.