The quotation types check is very involved and should be used carefully. I will sometimes just turn on one option and check to see what is happening. I typically suggest leaving the Quotation Types turned on with the tab, but unselected when running checks. This can be useful to identify places where a quotation mark might be in an incorrect space.
The quotation types check is turned on and off using the Quotation Types tab of the Quotation Rules.
Project menu > Project Configuration > Quotation Rules > Quotation Types Tab