Angela I think your problem is not the battery (which you've already replaced it with a similar one) but your HDD.
If you have practice disassembling the hardware of your HDD and turn on the computer with a USB where there is an Apple OS (on the internet you will find many articles to create one). At this point if the computer is turned on you will understand that the logic board and battery (perhaps very used) are good and you'll only have to reinstall the OS on a new hard drive! ;-)