Grammar checking

? Alexander feared lest his father’s fame should overshadow his ambitions.

? Alexander resolved to gain a reputation on his own.

? Alexander’s father was considered to be an unprecedented person in Europe.

? Alexander’s father was venerated as a national hero for his consecutive victories in war .

? Alexander’s father was no more a man of prominence than Alexander was.

I wonder if these five choices are correct grammatically.

Please answer.

I appreciate your sincere and quick answer.