Boy! That’s a lot of broken here!
So if I get where you are the battery is dead and in the process you damaged the uppercase and the keyboard is likewise not working. Now trying to use the logic board without a case only gets you a dim MagSafe LED. Sadly that’s the power logic which is damaged. There is a set of MOSFETs which switches the power from the MagSafe to the battery to charge it as well as allow the battery to power the system as well as allow the MagSafe to power the logic board directly.
Given how much is needed here just on what you’ve offered I think this is a lost cause 😖😢
Time to throw in the towel and get another system and just use what’s left as spare parts depending on what you get to replace it.