Hey LetsGo . I'm Greg, 10 years awarded Windows MVP, here to help you.
When you sign in to MS Community with your MS Account there should be a separate screen that comes along asking if you want to remain signed in. If not then you need to clear your MS Community cookies in the Browser Privacy > Clear Data settings so it resets that setting so you can choose it again.
If you reinstalled Windows 10 with the Windows 7 drive attached, it should create a Dual Boot menu to choose from . If you unplugged the WIndows 7 drive, then you should set the one you want as default in BIOS Setup, boot the other one using the BIOS Boot Menu interrupt key.
If there's a failed WIndows boot menu created, you can fix it by installing EasyBCD, on Add OS screen add the other OS by type, Name you give it, and drive letter for it showing in Explorer. If you need to assign it a Drive Letter, do this in Disk Mgmt.
EasyBCD download, no registration or email needed, just click Download:
https://neosmart.net/Download/Register
EasyBCD guides: http://neosmart.net/wiki/display/EBCD/EasyBCD+B...
Dual Boot guides: https://neosmart.net/wiki/easybcd/dual-boot/
Feel free to ask back any questions. Based on the results you post back I may have other suggestions if necessary.
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