Launcher flashes error "oh no! something went wrong, and we couldn't connect to the Minecraft services" every second, can't access servers with autologin

My Minecraft Launcher flashes every second "Oh no! something went wrong, and we couldn't connect to the Minecraft services". Also Play button flashes from "Play" to "Play offline".  I figured it was just a buggy launcher so I updated  it (didn't help) and then reinstalled it, but it also didn't help - the red warning on the right up side (that it can't be checked which products I own)  appeared and flashing is still there.  

Also, when I start my Minecraft launcher, I always have to log in (my account is saved, but I need to click Let's play). It didn't happen before this problem.

So I can't access servers, where autologin was enabled - it says, that I should restart launcher (doesn't help).

It started to occur when I changed email and surname on my Microsoft account. I don't know, if it is a reason or there is some buggy update of Minecraft Launcher.