There could be a couple of problems to check. First your charger might be broken, or the part that plugs into the computer could be broken or bent. The part in the computer that connects the charger could be broken or dirty. And the battery could be dead or close to it which you would need to replace it. The cable connecting the batter to the laptop could be loose. Also after the computer is fully charged it should be unplugged because you could be over charging the battery.
First make sure your computer has a touch screen! Next make sure that the touch screen in enabled, you may have accidentally disabled it at some point. Your screen may be dirty and that is why it is not registering your touch so just lightly clean it with a clean smooth rag. If none of those work i would consider replacing the screen.
There are many reason to why your computer could be running slow but here are a couple of the most common options. There may not be enough space in the hard drive so erase unwanted material or replace with a larger hard drive. It could also be the size of the RAMS and you will need to reduce the number of programs running at the same time. It could also be your operating system, so check and see if it is running on Windows 10 and instead install Windows 7 which is much faster.