I like all the idea besides from the third one. There is no way to make cake better because it's just a cake, not all items need to be super good or super bad on Lucky Islands. That's also why you have loot like 10 fireballs and a dispenser, or 9 chickens.
I like ideas 1 and 2. More than once I couldn't find a player because they were camping and had to end the game by myself. Aswell as second idea, more than once it has happened and it would be perfect if they made a custom hitbox