Added new css as recommended. Results:
For Safari, Chrome and Firefox, product and cart pages working properly. On checkout page, country and state menus still have a light background for all these browsers, including safari.
I am using IE11 as my test browser. On product and cart pages, initial option menu box color are still incorrect. They are white before you click on them, background of dropdown menus is now black, but selection remains unreadable after you make a selection. On checkout page, now initial option menu box color is black, but text is also almost black. When selecting a country or state, drop down is still light colored and text is unreadable.