Confirming my calculations/routes, that JR Pass is the right call

Hello, first timer here. My wife and I will be taking a 7 day trip, from Tokyo to Kyoto. While in Kyoto, we want to take two day trips, one to Osaka and one to Hiroshima and then return to Tokyo on day 7. Using this site I plugged this itinerary in (hopefully correctly) and it seems that the Pass is the way to go. I guess I'm checking that I did in fact plug the itinerary correctly.
Thanks in advance for any help!!