Will they just print my new name on the recent passport or do I still need to get a new passport?
You will need to get a new passport with your new name.
How long is the validity of the passport with my new name in it?
Your new passport will have 10 years of validity.
I’m going to get married in a while, I’ll be leaving for my honeymoon a day after the wedding, I don’t have time change my name on the passport, even if I use the fastest processing rate. What should I do?
You can still use your passport with your maiden name, just make sure that the airplane ticket has your maiden name written on it, not your married name. Once you’ve arrived from your honeymoon, you can change it and congratulations.