Just FYI this is in the wrong forum: it should be Tab s2 rather than Galaxy s2. Not sure whether that will make a difference to the response you get, but you might want to "report" it to a moderator and ask them to move it to somewhere better.

Whether there is a way forward depends on why it is looping. But the fact that it's booting into recovery rather than just booting into Android suggests that your "ROM install" didn't work.

So, first question: what ROM did you install? And when you say "ROM" do you mean official, stock firmware or a custom ROM? Installing a custom ROM usually requires a factory reset before it will work, so I'm hoping it's official firmware, but as I'm not a Samsung expert I can't say whether I'd expect an Odin install to do a reset anyway or not. But if you flashed official firmware, there were no error messages during the installation but it's trying to boot into recovery anyway that really would not be good news. Did you verify the firmware download before flashing (i.e. check its md5 sum or whatever other checksum they provided)? If not it might be worth trying another download (or checking the one you have).

As with any Android device, any firmware, whether official or custom, must be for the precise model of device you have.

But I cannot promise that this is soluble. The most fixable cause of a bootloop is a data corruption that can be cleared with a factory reset - but because you want to recover data from the device you don't want to do a reset. Firmware corruption is much rarer, but can be fixed with a firmware reflash. A hardware error is the other possibility - there are different types of hardware error that can produce the same result, but it's not really worth distinguishing them because in most cases the solution is a new motherboard anyway, and as your data are on the old motherboard that also would not help. So what you are trying is really the only thing I can think of worth trying (if it can be done without a reset), which means the question is whether it can be made to work or not?

 

In order to keep the data when flashing firmware via Odin it's necessary to have selected HOME CSC rather than CSC. If you didn't do that, your data has been wiped clean along with the encryption key making it unrecoverable. .


https://www.google.com/amp/s/technastic.com/csc-home-csc-samsung-odin/amp/


https://www.droidviews.com/difference-between-csc-and-home_csc-samsung-firmware/

I recommend Frija for the latest firmware and always use an Md5 checker to verify the integrity of your download.

https://forum.xda-developers.com/t/tool-frija-samsung-firmware-downloader-checker.3910584/

Further information can be found from the link below.


https://forum.xda-developers.com/c/samsung-galaxy-tab-s2.4702/

It is also possible the issues stem from a bad battery. Good luck and welcome to Android Forums @mattydubs