See macoS Sierra: Reset the printing system. Same drill for Mojave. When you get to the re-add printer phase, the name of your previous printer will already be in the list, so you can just check it.
You tell us nothing about your printer model. Even if HP provided drivers for High Sierra 10.13.n, there is no assurance that those drivers will work under Mojave. If the last available drivers were released prior to 2017, then you may have an HP paperweight. If we knew the printer model, we could look at alternative driver availability.
If you are using Office 2008 or 2011 for Mac, Microsoft does not recommend them for macOS High Sierra or later. In fact, neither were tested against High Sierra, and Office 2011 received its last update (14.7.7) in Sept 2017, just before Microsoft ceased all support for it in Oct 2017. The best that you can hope for in compatiblity will be the very last Office 2016 for Mac update. As Mojave is brand new, it may take some time for Microsoft to fix any major issues in Office 2016 for Mac, and post an appropriate update. This happens every year at this time.