Main difference between an oxymoron and a paradox

An oxymoron is a phrase where two opposites are used together for an effect, sometimes emphasis, drama, or for comedic relief.  Examples are act naturally, painfully beautiful, quiet presence, etc.  A paradox is sort of like a brain teaser. It seems absurd and self contradictory and may be against the common beliefs. Examples:  Less is more, "All animals are equal, but some are more equal than others" from Animal Farm, "War is Peace" from 1984, etc.

I'm not going to make it tonight and