Peace be upon you
there are 2 books that tackle the history of both the US and Britain
An Illustrated History of Britain
An Illustrated History of the USA
if you want to know more about phonetics all you have to do is to download roach's book
English Phonetics and Phonology
Concerning grammar there are plenty of books for instance English Grammar In Use
Concerning the exams
may this link help you
https://www.djelfa.info/vb/showthread.php?t=866243
Best of luck