Have you got a plugin (or plugins) in your installation that are not compatible with 4.3? The theme has to be a suspicion. Do all these problems go away if you switch to the core Boost theme?
Failing that, this does sound like some broken javascript is finding its way onto the page. Open the Javascript consold (F12 then the 'Console' tab) and check for red errors when you load a Moodle page.
Failing that, this does sound like some broken javascript is finding its way onto the page. Open the Javascript consold (F12 then the 'Console' tab) and check for red errors when you load a Moodle page.