I do not think this is a actual Malware issue with the browser...may be a problem with one of the plugins.
So try disabling all one by one as outlined here until the current issues are no longer present.
Then if you find the culprit, re-enable and re=start Chrome. If still a problem merely uninstall the offending software via Add/Remove Programs, then re-download and install again.
Also it may be worthwhile checking if any installed extensions are the culprit. IE disable them one by one. To do so:-
Type chrome://extensions into the address bar at the top of a Chrome browser window and depress the Enter key.
Then the same procedure as when dealing with the plugins etc.