1. Yes. That's why it says in big, bold, red text on the first page: "It is highly recommend to get sure your account is saved to Facebook BEFORE you start using the mod!" If you ignored that, it's your own fault. Hope you're ready to play through Y1-Y3 again.
2. Once you start modding, you cannot contact Jam City support under ANY circumstances. Even if you switch back to the vanilla client to submit a report, they will analyze your account and see all the discrepancies that come with using mods. You'll be banned in a matter of days. Guaranteed. In a similar vein, we recommend that you stop playing the game whenever a Full Marks or House Pride event begins - multiplayer events like those are another way that they track and ban cheaters.
3. You only need to use version 5.2.2 once per device. Once you have your Facebook save loaded and ready to go, you never have to use it again unless you get logged out of that device and you need to sign back in. Follow the guide below for specific instructions: