I wanted to let him in but there was a car coming from behind so I couldn't.
1) That car looks like he wants to get in.
「あの車入りたそう。」
「〜そう」なので looks like を使ってあげます。
「入りたそう」は looks like he wants to get in
2) I wanted to let him in but there was a car coming from behind so I couldn't.
「入れてあげたかったけど、後ろから車が来てたから入れてあげれなかった。」
「人を入れてあげる」は let 人 in と言えます。
「車が後ろから来ていた」は there was a car coming from behind と言えます。
ご参考になれば幸いです!