I would always replace the tube.
Rim strips, you can but I like to replace them with duct tape, stop laughing at me
Duck tape will keep moisture from getting in around the spoke nipples so you have less rusting inside the rim. Out of the sunlight it will last for years yet pull right off if you need to adjust spokes. It will never move out of place like the rubber ones can.
Please note most of this was on enduro bikes rode hard in muddy locations, but it has worked well for me on many road bikes as well.
Bigzuk