Tooltips

That would be a right-click. What mouse, trackpad, etc. are you using? If it's a mechanical mouse, the buttons could be bad. A trackpad takes two finger tapping if you have the gesture turned on to right-click. The Apple Mac Mouse doesn't use buttons there are sensors to simulate buttons. Did someone swap your left and right buttons. i.e. Left Handed mode?

Tooltips are when you hover the mouse over buttons and controls. Are you talking about spelling correction popping up while typing?

Turn it off via System Preferences -> Keyboard -> Text

Uncheck "Correct spelling automatically".

Other applications may have their own controls for this functionality.

FYI,

Any mouse will work with the Mac. Glad to be of service.