If your touchscreen doesn't work, I can think of two other ways of installing apps (e.g. emulators) - from the Play Store on your computer, telling it to install to the jxd; or if it's not on the Play Store, getting the app on your computer and installing it using adb. The first option is easy, the second needs a bit more software and knowledge, but someone could guide you through it if you don't already know adb.
Once the emulators are installed, and roms are copied into the right place, you've still got the problem of launching the apps - there may be launchers that can be controlled with just buttons, I haven't looked - and the same with navigating and configuring the emulators. Hope you can find a solution.