===帮忙看下有没有语法错误===

1：He hopes me to go back and give him a hand
没有hope sb to这一说法,he后面动词give用单数gives
改成He wants me to go back and gives him a hand
但如果你还是想表达希望的话用expect希望
改成He expects that I go back and give him a hand
2:I will main ly focus on the management,because i want back and tack over my family's business.
前半句ok.后半句语法错误,表达也让人疑惑.猜想你是说你想帮助你家的生意应该说成
I want to go (back) home and help my family with their business.

He hopes me to go back and give him a hand ,对的
I will main ly focus on the management,because i want （to go )back and tack over my family's business.

第二句want后少了个to，want to do sth.其他的没什么问题