I don't have Lollipop but it sounds as if security was enabled on your devices during the OTA update. I think having security enabled (PIN or tap sequence) disables swipe to unlock and disables widgets from being displayed on the lockscreen (because it may show confidential emails/txt/call info).
Not sure where to check that, but on KK, it's Settings, [Device Section] Lock Screen, Select Screen Lock. See if it's set to something other than Swipe, and to the other poster, after checking/changing that, see if you can set widgets on the lockscreen now. Again, this is just a guess, as I don't have Lollipop.
Edit:I also just read about lockscreen widgets being disabled on Lollipop in favour of notifications mentioned earlier -- my bad.