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I have done so. I kept my number. I contacted service, they deactivated my lost SIM and my number became available. While I was registering, I selected my number and registered the new SIM as my number

You can log in with old email. That shouldnt be an issue. However for communications you may want to contact customer services to change your email

The distance really matters but pretty much wont work for the most part

Try using another devise to see if you can successfully activate then change it to the devise you intend to use.