If in the Bizarro Universe everything is reversed would that means the Black Lanterns would be the good guys there?

No.na black lantern bizarro would have a black lantern ring as its guiding intelligence

His backwards logic isn't a force of nature, the black ring will direct his body to do whatever it needs him to do.

Bizarro Black Lanterns would probably be living people/aliens that put on the rings and then lay down in caskets in the ground, since Black Lanterns are the risen dead.

No. That's not how Bizarro World works.