As you are running only CCleaner's Health Check almost everyday we can rule out that CCleaner is causing your problem.
It will clean the same things everytime that you run it.
It wouldn't suddenly do something different every three or four months. (Unless you suddenly run the reg cleaner or something else).
Those Google accounts are not something that CCleaner Health Check would remove, and it certainly wouldn't remove Lastpass passwords.
It's the Lastpass problem that is the more worrying here, from a security point of view..
Sorry, but I don't know what is causing your google account list and Lastpass passwords to be removed.
But you can be pretty sure that it isn't CCleaner that is doing it.
My best advice is to have your machine checked over for free by an expert.
We are not allowed to do that here but we can point you to where to get it done, they mainly help to remove malware and viruses but do check for other problems as well.
See section 10 of the forum rules here for six websites who will check your machine for you and fix any problems, just follow their instructions to the letter: