iPhone 5s replaced battery now won't charge and home button won't work

I have a friend, which makes this even worse, that brought his phone over to get the battery replaced. I have replaced all of mine without issue. Getting this battery out was a real struggle. It appeared to have gotten extremely hot at one time. I got the battery out, put in the replacement, then reassembled the phone with seemingly no issues. Once powered back on, the 5s sensor worked, but the button click did not. I also tried to charge the phone since the battery shipped with a low charge. The lightning dock doesn't want to work either. I opened the phone back up the next day to find what looked like a "crack" on the ribbon cable from the home button. This leads me to believe that when the phone popped apart, I damaged the ribbon cable for the home button.

Question 1) If I replace the home button will that a)disable any usage of the sensor, and b)possibly help with the charging port?

Question 2) If the charging port is a separate issue, is there something else I should look at prior to replacing the entire lightning port or is this something I should just do while replacing the home button?

Thanks for the help.