I took the nuvaring out after two days can I get pregnant a week after?

Very unlikely. It is possible but very unlikely that you would resume normal ovulation within a week after removing the Nuvaring. If ovulation did not occur, your risk of getting pregnant would be very small and quite remote.
Depends. It depends on what day of your cycle you were on. The cycle begins on the first day of your period and for women with regular periods, they usually ovulate 12-15 days after their period starts. So to be safe, if you don't want to get pregnant, you should either not have intercourse or use condoms. Hope this helps.