Конструктор копирования

#include <string.h> 
#include <iostream>
using namespace std;
 
class Student
{
private:
    char* name;
    char* surname;
    char* dateOfBirth;
    char* numberOfGroup;
    int* course;
 
public:
    Student();                                                                                      //конструктор без параметров
    Student(char* _name, char* _surname, char* _dateOfBirth, char* _numberOfGroup, int* _course);   //конструктор с параметрами
    Student(Student &_student);       //конструктор копирования
    ~Student();                                                                                     //деструктор
    void ShowStudent();                                                                             //Метод вывода на экран 
    void setName(char* _name);
    void setSurname(char* _surname);
    void setDateOfBirth(char* _dateOfBirth);
    void setNumberOfGroup(char* _numberOfGroup);
    void setCourse(int* _course);
};
 
Student::Student()
{
    name = new char[4];
    strcpy(name, "John");
    surname = new char[3];
    strcpy(surname, "Dow");
    dateOfBirth = new char[10];
    strcpy(dateOfBirth, "01.01.2000");
    numberOfGroup = new char[10];
    strcpy(numberOfGroup, "0000000000");
    course = new int(1);
}
 
Student::Student(char* _name, char* _surname, char* _dateOfBirth, char* _numberOfGroup, int* _course)
{
    name = new char[strlen(_name)];
    strcpy(name, _name);
    surname = new char[strlen(_surname)];
    strcpy(surname, _surname);
    dateOfBirth = new char[strlen(_dateOfBirth)];
    strcpy(dateOfBirth, _dateOfBirth);
    numberOfGroup = new char[strlen(_numberOfGroup)];
    strcpy(numberOfGroup, _numberOfGroup);
    course = new int(*_course);
}
 
Student::Student(Student & _student)   //конструктор копирования
{
    name = new char[strlen(_student.name)];
    strcpy(name, _student.name);
    surname = new char[strlen(_student.surname)];
    strcpy(surname, _student.surname);
    dateOfBirth = new char[strlen(_student.dateOfBirth)];
    strcpy(dateOfBirth, _student.dateOfBirth);
    numberOfGroup = new char[strlen(_student.numberOfGroup)];
    strcpy(numberOfGroup, _student.numberOfGroup);
    course = new int;
    course = _student.course;
}
 
Student::~Student()
{
    delete name;
    delete surname;
    delete dateOfBirth;
    delete numberOfGroup;
    delete course;
}
void Student::ShowStudent()
{
    cout << "Name: " << name << endl;
    cout << "Surname: " << surname << endl;
    cout << "Date of birth: " << dateOfBirth << endl;
    cout << "Number of group: " << numberOfGroup << endl;
    cout << "Course: " << *course;
}
 
void Student::setName(char* _name)
{
    strcpy(name, _name);
}
 
void Student::setSurname(char* _surname)
{
    strcpy(surname, _surname);
}
 
void Student::setDateOfBirth(char* _dateOfBirth)
{
    strcpy(dateOfBirth, _dateOfBirth);
}
 
void Student::setNumberOfGroup(char* _numberOfGroup)
{
    strcpy(numberOfGroup, _numberOfGroup);
}
 
void Student::setCourse(int* _course)
{
    *course = *_course;
}
 
int main(int argc, char const *argv[])
{
    cout << "First Student:" << endl;
    char* _name = new char[20];
    char* _surname = new char[20];
    char* _dateOfBirth = new char[10];
    char* _numberOfGroup = new char[10];
    int _course;
    cout << "Enter name: ";
    cin >> _name;
    cout << "Enter surname: ";
    cin >> _surname;
    cout << "Enter date of birth (dd.mm.gggg): ";
    cin >> _dateOfBirth;
    cout << "Enter number of group (xxxxxxxxxx): ";
    cin >> _numberOfGroup;
    cout << "Enter course: ";
    cin >> _course;
    Student* firstStudent = new Student(_name, _surname, _dateOfBirth, _numberOfGroup, &_course);
    Student* secondStudent = Student(firstStudent);            //Вызов конструктора копирования
    cout << "Second Student:" << endl;
    cout << "Enter name: ";
    cin >> _name;
    cout << "Enter surname: ";
    cin >> _surname;
    cout << "Enter date of birth (dd.mm.gggg): ";
    cin >> _dateOfBirth;
    cout << "Enter number of group (xxxxxxxxxx): ";
    cin >> _numberOfGroup;
    cout << "Enter course: ";
    cin >> _course;
    firstStudent->setName(_name);
    firstStudent->setSurname(_surname);
    firstStudent->setDateOfBirth(_dateOfBirth);
    firstStudent->setNumberOfGroup(_numberOfGroup);
    firstStudent->setCourse(&_course);                                                      
    cout << "First Student:" << endl;
    secondStudent->ShowStudent();
    cout << endl << "Second Student:" << endl;
    firstStudent->ShowStudent();
    delete _name;
    delete _surname;
    delete _dateOfBirth;
    delete _numberOfGroup;
    delete firstStudent;
    return 0;
}

Student::Student(Student & _student)   // (const Student & _student)
{
    name = new char[strlen(_student.name)]; //А память под символ '\0'?
    strcpy(name, _student.name);
    surname = new char[strlen(_student.surname)]; //А память под символ '\0'?
    strcpy(surname, _student.surname);
    dateOfBirth = new char[strlen(_student.dateOfBirth)]; //А память под символ '\0'?
    strcpy(dateOfBirth, _student.dateOfBirth);
    numberOfGroup = new char[strlen(_student.numberOfGroup)]; //А память под символ '\0'?
    strcpy(numberOfGroup, _student.numberOfGroup);
    course = new int;
    course = _student.course; //утечка памяти
    //может так: *course = *_student.course; 
}

Student* firstStudent = new Student(_name, _surname, _dateOfBirth, _numberOfGroup, &_course);
    Student* secondStudent = Student(firstStudent);