Go here (https://www.linkedin.com/psettings/privacy) and turn off the setting labeled "Notifying connections when you're in the news". It's the last item in the first section. While you're still on that page, scroll to the bottom and enable two factor auth too.
It's not like Facebook where people can get access to personal photos or intimate conversations.
I'm a lazy man and linkedin provided me a service.
PS. They've emailed me to say they'd reset my password, but aren't forcing me to do it as my cookie login or whatever still seems to be valid. "Heh".
"Choose if we can show your profile information on your employer's pages" shows "Yes" but the text below "Hide my picture and profile information from showing up in this section of a job detail page?" says "Yes". So is it showing or hiding that?