Tablet not charging and not turn on

I read many thread about similar issue and none of solution worked for me so far. Please advise.

Battery drained out, while I was on vacation. Ever since, the device does not get charged. I tried many cables that work for other devices but charging icon does not show up, while the device itself gets hot.

I tried all combination of volume up/down + power + home and volume up/down + power, while cable is plugged, and nothing worked.

When I called Samsung, they said they will provide free repair, even though the device is out of warranty, however, they would wipe out the data before repair and I need to avoid it.

If you can advise any solution for the charging issue or the way to backup the data under current situation, it would be great.

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Additional information.

I replaced battery but no luck. Right after I replaced the battery, the area marked in the picture gets really hot. I currently disconnected replacement battery.

If there is no luck of getting this device back to working, if anyone knows how to extract data from dead device, it would help too. Thank you.

This is a picture before replacing battery.

This is a picture after replacing battery.

This is a picture and area where it gets heat.