video hardware error after driver update

Ok so I havent been having issues until recently when playing a game called dungeons and dragons online. My directx crashed so figured id do updates and check what my issues were. I updated my driver for my AMD Radeon HD 3400 using the program provided on the main site. After installing a driver update I started experiencing errors like "Video Hardware Error" with extreme fps drops in games like league of legends which was not happening until after I did this update.

Now I am not computer savy at all and when it comes to finding a fix for this issue its proven to be extremely hard so reaching out to the community to see if anyone can help. I am a father of 3 children and struggle with funding to upgrade or even replace this computer so trying to find someone who can walk me through fixes or can possible offer suggestions to fix this issue in a detailed manor.