Hi Jeffrey
Since you mentioned that you'd recently upgraded, I looked at your posts for that adventure. I think you'd quickly agree that some computers upgrade more easily than others.
There are a few places that control password settings in Windows, and a few different methods for managing them. Depending on what method was used in Windows 7, it could well be affecting your experiences in Windows 10 - since the upgrade process tries to let you "have it your way".
Automatic logins do not mean that no password is in use ... it just means that Windows saved the original password and has been entering it automatically for you. Have a look at the article I've linked below, and check those settings. I recommend the first method in that article as the easiest to use - and I'm guessing that it is likely the setting you inherited from Windows 7. But I'd recommend visiting the Registry entries mentioned in the second method also, to make sure that those settings aren't unnecessarily tangled.
How To Automatically Login In Windows 1
There is also a simple tool from Microsoft/SysInternals called "AutoLogon" that is very simple to use. If you want to view information about that applet, here is it's page over at TechNet:
Autologon
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If you also would like for Windows to not require a login after Screen-savers or sleep/hibernation, you can change a few settings for that to happen:
Screen Saver (Power Options):
...a) Right-click the Windows Start Menu icon
...b) Select Power Options
...c) Select Require a password on wakeup
...d) Select Change settings that are currently unavailable
...e) Select Don't require a password (in the Password Protection on Wakeup section)
...f) Select Save Changes
Screen Saver (Personalization)
...a) Right-click the Windows Start Menu icon
...b) Select Control Panel
...c) Select Personalization
...d) Select Screen Saver (it's on the lower right corner)
...e) If there is a check mark in the option box in front of "on resume, display logon screen" - remove that check mark by clicking on it.
...f) Select OK
Account (no password required after wake from sleep)...a) Click on the Windows Start Menu icon
...b) Select Settings
...c) Select Accounts
...e) Select Sign-in options
...f) In the drop-down menu under Require sign-in, select Never
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I believe your problem with saving passwords for wireless network connections is unrelated to your trouble with the startup/wake/sleep/hibernate/screensaver password trouble. For a first attempt at fixing, I'd remove the wireless network that is having the trouble:
1) Left-click or tap the Wireless Network icon in your system tray
2) Select "Network Settings"
3) In the WiFi section of the screen that opens, select "Manage WiFi settings"
4) In the "Manage Known Networks" section, select the Wireless Network with the password saving problem, and then select "Forget".
Restart your computer. When Windows is fully up and running again, click on the Wireless Network icon again, select your wireless network from the list, and enter the network password. Windows will automatically save it as long as the "automatically connect" option has a checkmark in its option box (which it should have, by default).
See if that does it.
Let us know if things go sideways and get interesting.