I want to know if this letter is correct, if it isn't correct please correct it. This letter was made using the Upstream Intermediate B2 Student's Book, from page 51 exercise 6 b.

From: Kate Peterson
To: Joe Benson
Re: Trip Details

Dear Joe Benson,
Regarding your recent fax, I'll confirm you the details for our school trip. We are going to stay from 6th of December to 16th of December. We propose to arrive at 12:45 P.M. and we will travel by bus. At our party will take part 18 people, 2 teachers and 16 students, and we need 5 rooms. I want to know if there are some sports facilities, and if there is a local historian, because my students love history very much.
I hope this covers everything. I'm looking forward to seeing you soon.
Yours truly,
Kate Peterson.