1.+My friend was at the party yesterday.
-He wasn't at the party yesterday.
?Was my friend at the party yesterday?
2.+He visited me last week.
-He didn't visit me last week.
?Did he vizit you last week?
3.+Ann went to the country by car.
-Ann didn't go to the country by car.
?Did Ann go to the country by car?
.........................
He doesn't have a lot of things to do for this evening.
There are not a lot of books in this library.
(В предложениях с отрицанием всё же лучше использовать many/much, а не a lot of).