1. That is correct. Marriage is required. 2. There are no restrictions. 3. That's correct, after a new H-1B petition is approved. 4. You don't need a new passp

1. That is correct. Marriage is required. 2. There are no restrictions. 3. That's correct, after a new H-1B petition is approved. 4. You don't need a new passport now but if you can get a new one quickly, I would before you get your H-1B visa so that you don't have to travel with two passports later on.