All I did was:
Delete game data (not the one with install in it)
Started game in single player.
Deleted my character (I'm not sure if it's necessary)
Went back to start menu and started in solo mode.
Absolutely no problems since then.
I really hope this helps people. I'm praying it doesn't start goofing up while I'm playing it because I literally just finished the tutorial race. Watching a cut scene with Lamar now.