I just saw a new guy, he is so cute.  (*Correct sentence~ ^^ ) 

She anticipated it will take about ten minutes, but it actually took an hour.

Better say: She anticipated it would take about ten minutes, but it actually took an hour. 

You can only order dishes on the menu. (*Correct sentence~ ^^ ) 

There is a bunch of requests that you have to deal with. (*Correct sentence~ ^^ ) 

Would you like to grab a beer befor going home? (*Correct sentence~ ^^ ) 

*Be a bit careful with the spelling~ (eg. before) 

I like brownies more than cookies. (*Correct sentence~ ^^ ) 

A new employee is going to join the company late next month. (*Correct sentence~ ^^ ) 

He always helps other people out in any situation. (*Correct sentence~ ^^ ) 

We had to book earlier in peak season. 

Better say: We had to book earlier than the peak season. 

This client asks impossible discount. 

Better say: This client asks for an impossible discount.