Hi Adinahc,
Performing a full reformat recovery using the recovery disc should resolve the issue if done properly. Please visit this link to verify if this is how you did the system recovery, https://us.en.kb.sony.com/app/answers/detail/a_id/40172/related/1. If so, then you may proceed to the link below. If not, then we suggest that you redo the reformat using the steps in that link then duplicate the issue.
For the battery issue, kindly refer to this link for troubleshooting steps on the bat. https://us.en.kb.sony.com/app/answers/detail/a_id/43943
Regards,
Jen
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