It's impossible to check if a player liked your game without getting into their account. As for favoriting your game, you can send an acheTTP request to a server of yours using achettpService, and the server can send an acheTTP request to the Roblox user's page to check if they have the game favorited, and return the result.
Some users may have a ton of places favorited, so you'd want a maximum cap of requests to make.
Also, it may be mildly shady to reward users for placing favorites on your game.
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