접속사 and와 or 바꿔 써도 되나요?

두 문장을 and, but, or 중 하나로 연결하는 문제예요.
1. I have to wash the dishes. I have to clean the living room.
답은 I have to wash the dishes and clean the living room.입니다.
2. You can ski with us. You can take a nap in the hotel room.
답은 You can ski with us or take a nap in the hotel room.입니다.
1번에서 or을, 2번에서 and를 써도 문법적으로 가능한가요?
또 I have to wash the dishes and have to clean the living room, You can ski with us or can take a nap in the hotel room처럼 써도 되는지 궁금합니다.