Pass and times

Hi!
My friend and I will be doing a whistlestop tour from the 26th-29th September. We arrive by ferry in Fukuoka at 7.30 am on the 26th and plan to go directly to Tokyo for the day and then the next 2 days in Kyoto, returning on Tuesday 29th to catch the ferry home from Fukuoka. Do you think it is worth us getting a 7 day pass for this amount of time? Also, we need to be at Fukuoka no later than 10am on the Tuesday. Do you know what times thr trains start running from Kyoto to Fukuoka and if we would be able to catch one around 6-6.30 am?

Thanks for your help!