As for the third option "Strict Search On", "On" seems redundant at best and misleading at worst. Misleading because I'm not sure if the text is going to change when I toggle the switch. Meaning I don't know if this is a static label telling me what the setting is or a dynamic label telling me what the current state is.
In summary, I would make the button text more consistent and change their default states: [x] Quick Directs [x] Deep Searching [] Strict Search
As a side note, the controls are different on the main page vs the result pages. On the homepage they are switches while on the results pages they are check boxes.