There are 4 rarities:
Legendary earns more than Rare , Rare earns more than Common, Common earns more than Basic and Basic earns more than Starter.
Rarity takes precedence over reputation level. Higher rarity NFTs earn higher rewards. Within each rarity tier, a higher reputation level will earn more rewards, but only within that rarity bracket.
You can check how much PLAY is earned per nerd's rarity and reputation here