I am not a teacher.
Sentence 1) would be better if it started with a capital letter and if "received" were spelled correctly.
It would probably be an improvement if you simplified it. "We sent you the information so that you would receive it in time."
Sentence 2) should be, "He spent all day in the/his room lest he disturb anyone" Lest is followed by the subjunctive.
Student or Learner