The attractions on and around Tom Sawyers Island (e.g., Mark Twain/Columbia, Canoes, and TSI) close before F! starts, but the attractions in NOS, Critter Country, Adventureland (except maybe the Treehouse - I think it closes because they don't want guests using it as a viewing area) and Frontierland are unaffected. In terms of riding the attractions...yes and no. They are open before, during and after F!, so it is possible to get in a few rides. Just note that the lines will see a significant increase as others that had watched F! also head to those nearby attractions. I certainly think you can get in a ride or two after F!, there might just be fairly lengthy lines (especially for BTMRR, Pirates, and HMH, which are closest to the F! viewing areas).
In terms of PtN, there aren't really any attraction closures (except may Storybook Canal Boats). Getting from one side of the park to the other can be difficult (because the parade route cuts right through the parks). Fireworks (all shows) impacts Toontown (all) and parts of Fantasyland (IaSW remains open, but things like Peter Pan, Mr. Toad, Snow White, Pinocchio, and the Carousel close - not sure about Alice).