As a follow-up, and as much as I hate to contradict Mr. Bennett, the answer to question number two is, "Yes and no," and that's a technicality, but an important one, of the enumerated list you gave. Your browsing history and "what you visit" are one and the same. Google undoubtedly tracks your browsing history.
So far as I know, there is no way to literally track what you read (we all land on web pages from web searches that we barely glance at and close because we know they're useless to us) because there's no "eye tracking" technology (at least not as part of a standard computer setup) that allows any way of knowing what part or parts of a screen have been visually scanned. I have no idea whether there is any recording of what one might change on a site that is editable, but I am inclined to believe that there is not. Virtually anything one enters on forms and the like eventually goes "somewhere out there" in a form that can be crawled, and that's far easier to do than having a search engine somehow try to act as a keylogger and track what you type each and every place you type it.
All of the above being said, using DuckDuckGo is your best bet if you want to have a web search engine that also takes a position of not tracking to protect your privacy. It's what I've been using for years now, though I will occasionally use others, including Google. Most of my Google searches end up originating via DuckDuckGo and being anonymized by them. I use the "!images" operator in DuckDuckGo quite frequently, and the actual search is run by Google but passed to it with DuckDuckGo being the "searcher," not you.
Brian AKA Bri the Tech Guy (website in my user profile) - Windows 10 Home, 64-Bit, Version 1803, Build 17134
In a modern society where everyone thinks their opinion deserves to be heard nothing annoys me more than individuals who mistake their personal preferences for fact.
~ Commenter TheCruyffGurn on the The Guardian website, 8/13/2014