Which sentence is the correct one?

Correct Sentences: 
He didn’t talk lest they should mind. (Lest এর পরের Clause এ should/ mind ব্যবহৃত হয়। )
He tried heart and soul so that he could not fail. (So that এর পর Negative Clause এ would/might ব্যবহৃত হয়।)
After the poet had died, the book was published. (‍after এর পরের Clause টা Past Perfect Tense হয়, যদি অন্য Clause টা Past Indefinite Tense হয়)
No sooner the police saw the thief, they chased him. (No sooner থাকলে Structure টা হয় : No sooner + had + Subject + Past Participle Form + than + Sub + Past Form)