No to all three parts of that question, and here is why.
Letters do not reach an inmate the same day they are sent, regardless of how they are delivered. All incoming mail goes through the facility mail room first, where staff inspect each piece for contraband before it gets to mail call. That process adds at least a day, and often more depending on mail volume and the facility's schedule.
Writing back the same day is not possible either, for the same reason. Your inmate has to receive the letter first, then write a reply, then get it out through the outgoing mail process. Realistically, a reply takes several days to a week or more to reach you.
Nude photos are contraband at virtually every facility in the country and will result in the entire envelope and its contents being confiscated before they ever reach your inmate. It is not worth sending them. Lingerie and bikini photos are generally permitted as long as private areas are covered. That is where the line is, and staying on the right side of it means your photos actually get through.
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