`Answer :` 

`1.` He/she asked if I was enjoying myself.

`2.` He/she remarked that it wasn't so foggy that day as it had been the day before.

`-` Thì hiện tại đơn `->` Thì quá khứ đơn

`-` Thì quá khứ đơn `->` Thì quá khứ hoàn thành

`-` Động từ lừi thì : is `->` was | it was `->` it had been

`-` Trạng từ : today `->` that day | yesterday `->` the day before.

`3.` He/she told me to shut the door but not to lock it.

`-` Cấu trúc asked ở dạng câu mệnh lệnh :

`->` S `+` asked/told `+` sb `+` (not) `+` to V-inf

`4.` Bill congratulated Daisy on being the new manager 

`->` congratulate sb on `+` V-ing : chúc mừng ai đó vì điều gì...

`-` Thì hiện tại đơn `->` Thì quá khứ đơn

`-` Động từ lừi thì : are `->` was

$------------------------------$

`-` Cấu trúc câu tường thuật :

`->` S `+` asked `+` if /whether `+` S `+` V (lùi thì)

`->` S `+` say(s)/said/tell(s)/told/remarked `+` (that) `+` S `+` V (lùi thì)

`color{red}{#Atr}`

`1.` He/ She asked me if I was enjoying myself.

`-` Gián tiếp câu kể: S + asked / told (+ O) + S + V (lùi thì)

`-` HTĐ `->` QKĐ

`2.` He / She said it wasn't as foggy today as it had been yesterday.

`-` Gián tiếp câu kể: S + asked / told (+ O) + S + V (lùi thì)

`-` HTĐ `->` QKĐ

`-` QKĐ `->` QKHT

`3.` He / She told me to shut the door but not to lock it.

`-` Gián tiếp câu mệnh lệnh `(+):` S + asked / told (+ O) + to V-inf

`-` Gián tiếp câu mệnh lệnh `(-):` S + asked / told (+ O) + not + to V-inf

`4.` Bill asked Daisy if she was the new manager and he congratulated her.

`-` Gián tiếp câu hỏi (Yes-No): S + asked / told (+O) + if/whether + S + V (lùi thì)

`-` HTĐ `->` QKĐ