A Critical Error has Occcured, but i found the Solution
I figured out the cause of the "Critical Error has occured, the program must now be terminated" that happens 4 seconds into any match.
If you own an Nvidia Graphics card or just use the software, Nvidia Shadow plays overlay causes problems with League of Legends. you can fix this by going into you're setting>General> and then clicking the switch in the Share category that turns on the overlay.