battery won't charge

A battery not charging and a SD card have like nothing to do with each other, so I am curious what your actual question is on. Battery issues or card info?

Also, just the model of the tablet won't be able to give enough info on how large of a card (GB wise) it will take. You would really need to look up your tablets specs on the manufacturers website to know for sure what it can handle. Some models (model name) come in multiple versions.