A magnifying glass appears next to the INSTALL button. That's why reinstalling without backup can make you face data loss.
4 failed how to recover without losing data
Recover Data (If necessary) Reinstalling Mac OSX by booting into the Rescue drive partition (hold Cmd-R at boot) and selecting “Reinstall Mac OS” does not delete anything. We recommend that you use the Mac cleaner tool for the process to be completed quickly.
The macOS will be installed into your startup disk without overwriting your data.
iBoysoft Data Recovery for Mac online help: how to recover lost data with iBoysoft Data Recovery for Mac
Second, perform a clean install of macOS. The photos problem may be resolved with this.
Wait for the Updates tab to refresh as well, and you'll see the macOS Mojave update pop right up in a few seconds. Note: Make sure to NOT use the option 4 “Disk Utility" to erase the disk. When you update or reinstall the macOS, the last thing you want is probably losing data on your computer.