Yes, all 3 effects stack. They also stack with other rings that give one of those effects. So iridium band stacks with glow ring, for example.

Do burglars rings stack?

Monsters have a greater chance of dropping loot. The effect does not stack with two Burglar's Rings equipped. ...

Can you wear two of the same ring Stardew?

Rings are equippable clothing items that give players passive benefits. Any two rings can be equipped at any one time.