Hi,
Just verifying that it turns on with the charger connected, is this correct?
If so, try replacing the [https://www.amazon.com/HQRP-PUDFVM31120B-02404-0019-00-02404-0022-00-1UF553450-1-T0423/dp/B00ET08WUW|battery - (supplier example only)] Just search for ''02404-0019-00 battery'' to find suppliers that suit you.
Here’s the ifixit [guide|56437] guide that may help with this. Be sure to reaf the coments below the guide as well.