Laptop doesn't sync time, keys stop pressing continously and it turns off when unplugged

Ok, so my laptop is behaving really strangely.

For a while I am not able to automatically sync the time. It just won't connect to the site where it syncs the time.

Then, when I have it plugged to the charger it randomly starts a weird problem: I can't press keys continuously (if I hold a key down it will just type one letter), and if I unplug the laptop it turns off. When I turn it back on, I get a message saying that it wasn't able to sync time and the time is wrong.

It used to be less frequent, but now it happens basically everyday.

I've ran tests to see if there was a problem and nothing came up.

Does anyone know what that could be and how to fix it? Thanks