Changing charge port is feasible but as others say the S3 problem is usually bad battery.
A dead giveaway, if you take it out and meter it instead of typical 3.5 to 3.7V you will see 3.05V, if so then no amount of reconditioning will work.
Although some folks suggested connecting it in parallel with a smaller battery then running the combination down to 2.6V and recharging, a half dozen times as sometimes this works, in my experience it does not help.
The "theory" behind this fix is that the negative electrode has got into a resistive state due to overcharging and getting it past this point reverses the damage however its normally irreversible.