"Go over" can have several meanings. (For example, it can mean "to visit", for example "I will go over to my friend's house.")
But from the context of this question, I think I know what you mean.
OK,
"Go over" = to review
("I will go over the information in the report.")
"Go into" = to talk about the details, or to examine the details of some topic.
("Now I will go into why this information is important to the project.")
"Look over" = to check for mistakes, or examine some information with a purpose in mind.
("I will look over the application to see if there are any mistakes.")
"Look into" = to investigate, like a detective.
("I will look into the rumor that the company is failing.")
All 4 of these phrases are common in jobs and corporate environments, as well as in school and education.
People use them so often that you will learn them quickly.
幸運を!