Does an internal examination require ghusl?
                                Ghusl isn't required for making internal examination; however, it invalidates one's fasting. And Allah Knows Best.
                             
                        
                            
                                
                                Is a woman`s neck an Awrah (private part)?
                                All Perfect Praise is due to The Lord of The Worlds.
It is an Awrah, and it is forbidden for her to reveal it before non-Mahrams (Marriageable men). And Allah Knows Best.
                             
                        
                            
                                
                                Is buying shared land from someone who has taken possession of it considered halal or haram?
                                The shared land is possessed by the country i.e. for all people; therefore, it shouldn't be possessed/occupied save by it's guardian/owner permission,thusly it can't be possessed save by having owners' permission. Finally, buying it from a person who don't possess it is impermissible. And Allah Knows Best.
                             
                        
                            
                                
                                Is it permissible for the guardian, or the father of the child to hit the latter in order to teach him/her good manners?
                                It is permissible for the guardian to hit his/her child for teaching them good manners once they become ten years old provided that it is done mildly, harmlessly and without intimidation. Actually, such punishment is to be employed gradually i.e. after: asking, warning, and scolding. As for the teacher, he isn`t allowed to hit the student unless the latter`s father approves of it, and it is done according to necessity without intimidation, or harm.