Optiplex 3020 GPU upgrade

Hi guys so i want to install a AMD Radeon rx580 GPU in my Optiplex 3020 SFF however i cant cause the the power supply is too weak for that graphics card. So i decided to by a new power supply and chose Be Quite! system power 9 (600w) as a cheap solution.

1. So will it work if i change the power supply and the case?

2. Does the motherboard support that type of GPU?