You should be able to catch the 11:31, maybe even 11:03. Killing 30 minutes at shops in Hiroshima Station is easy. Make sure to get some goodies to eat/drink in the Shinkansen.
Yes. You can catch the ferry departing at 10:25 or 40. It only takes about 10 minutes to cross.
So you can probably catch the train departing from Miyajimaguchi for Hiroshima at 10:46 (arrival 11:14) or 11:03 (arrival 11:32).
If you are using the JR Pass, you cannot ride the Nozomi or Mizuho, but Hikari and Sakura. So naturally (excluding the extraordinary services during busy periods), the train from Hiroshima would be Sakura No.546 departing at 11:53 for Shin-Osaka (arrival 13:24). There is a Hikari coming from Okayama which will arrive at Shin-Osaka at 13:40, so you might get off at Shin-Kobe for a smooth transfer (a bit boring choices of bento box but easier connection is at Shin-Kobe; it has only one platform for each direction). Arrival at Tokyo is at 16:40.
But if you aren't really hurrying it to Tokyo, you might consider making a stopover at Okayama for one of the famed gardens there and the preserved historic district and Ohara Museum in Kurashiki (usually better accessed from Okayama rather than Shin-Kurashiki), or Himeji for Japan's best castle, or Kobe for the Ropeway city view and perhaps Kobe Beef.Edited: 21 March 2015, 21:18
Allow 10 min. walk for a slow walking family from the Miyajimaguchi ferry port arrival to the JR train platform through the underground passage. Elevators are available, if needed.
If you are in a hurry, trying to reserve seats wastes time by not being able to hop on the next incoming one but must go to the Midorinomadoguchi & check which one has reserve-able seats available and you may have to pass a few shinkansens while doing so.
If you want, hop on next shinkansen, if you see empty seats on Sakura or Hikari as many passengers get off in Hiroshima. You may que up a few min. before the train arrival. Transfer at the Tokyo bound Hikari origination station at Okayama, Shin-Osaka, even Kyoto, etc. so you have better chance of desired non-reserved seats when the train is empty. Or if you want and had time along the way, reserve seats.
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