Use the exact same format as your residence card. That way, when they ask you for ID, it matches exactly.

They can be very strict. My friend got escorted out of a water park for having and covering up a tattoo, and it was just a name in cursive. But I hear there are more tattoo-friendly baths now because ...

As long as you budget, it should be sufficient.

Depends on what you mean by well-paying, but you can get a decent English-teaching job. It doesn't require Japanese, just being a native English speaker + university degree. I can get by comfortab...