Public in Hotel cannot so you should book a room with private onsen inside your room.

Hello! No we visited Arima during the summer, so we did not see the cherry blossoms. But I am sure it is beautiful there during spring when its blossoming!

I can't seems to find their email at taketoritei + commercial domain. You may try calling them at +81-78-904-0, and they have fluent English speaking staff on duty. As for access by train and bus, check its website (taketoritei + commercial domain + slash + access). Once you arrive at the train station/bus station, my experience is that they will love to pick the guests up, since it is only a few minutes drives from the ryokan. I used their shuttle service to get into town and to the tram station several times at various time during the day. I believe the room charge does not include meals; meal plans will be extra. Hope this helps.

If you are looking for private hot spring out of your room its not available for all room rate but there are separated 4 private hot spring which are available for all room type but you need to reserve first and you can only reserve upon check in. You can use as many as possible but you can only reserve one by one. Only after you use your 1st private hot spring then you can reserve 2nd time then after 2nd time you can reserve for 3rd time like this. For King sized bed actually i have no idea better you contact them directly but it would be very nice if you use Japanese style. It is very thick and comfortable set up so you cant feel the floor or any hard things on your back!