I do remember that it was a few years that Frodo had stayed in Bag End, after Bilbo had left, before Gandalf had reappeared to find that ring. This probably could have been portrayed better that it was years and not months between Bilbo’s 111th birthday and the time Gandalf returned.
I also remember the scouring of the Shire, where Saruman was going to tear down the village and how he lost the power in his voice.
I don’t offhand remember the Field of Cormallen though.
In the book, after Frodo and Sam were rescued from Orodruin, they were carried to Ithilien, not to Minas Tirith. They recovered there, and there was a great ceremony there. Aragorn had already been crowned by that time. He had thrones set up there, made of turf, and when Frodo and Sam were healed (more or less), they were brought to the field, where Aragorn yielded his throne to them, the entire host of the west knelt before them and shouted “Praise them with Great Praise”, and a minstrel sang a song telling the story of “Nine-fingered Frodo and The Ring of Doom”. Much more majestic than the thing in the courtyard of the tower.