Class with Pointer and Dynamic Arrays

I'm currently writing a program that will help a college keep track of which students are in what clubs. This code will be pasted into existing code that works, as provided by my professor. Could someone please look my code over, and help me work through my mistakes? I included comments to explain what everything should do.

Also, please note this is an assignment and I cannot change anything about the class. I'm also a beginner, so keep it simple, please. Your help will be extremely appreciated beyond all measure.

class Club
{
public:
    Club();
    Club(Club &c);
    Club(string cname);
    void addMember(string name);
    void removeMember(string name);
    string getClubName() const;
    string setClubName(const string& nameOfClub);
    void loadClub();
    bool isMember(string& name) const;
    string getAllMembers() const;
    friend Club mergeClubs(Club& c1, Club& c2);
    ~Club();
private:
    string *members;
    int numMembers;
    string clubName;
};

Club::Club()
{
    clubName = "";
    numMembers = 0;
}

Club::Club(Club &c)
{
    numMembers = c.numMembers;

    members = new string [numMembers];
    for (int i = 0; i < numMembers; i++)
    {
        members[i] = c.members[i];
    }

    //copy constructor
    //watch out for memory leaks

}

Club::Club(string cname)
{
    clubName = cname;

    //cname should be saved as the club's name in the clubName variable
}

void Club::addMember(string name)
{
    string *m;
    m = new string [numMembers];
    string *members = m;
    for (int i = 0; i < numMembers; i++)
    {
        for (int j = 0; j < name.length(); i++)
        {
            m[i] = name[j];
        }
    }

    delete [] m;

    //adds new member to the club
    //records their name in the members variable
    //may need a dynamic array to make this work, watch for memory leaks!

}

void Club::removeMember(string name)
{
    string *m;
    m = new string [numMembers];
    string *members = m;
    for (int i = 0; i < numMembers; i++)
    {
        if ( m[i] == name)
        {
            m[i] = "";
        }
    }

    delete [] m;

    //deletes the person from the array in members
    //will do nothing if the person is not in the array to begin with
    //may require dynamic array to make this work- watch for memory leaks!
    //if the person's name appears more than once, just delete the first instance

}

string Club::getClubName() const

{
    return clubName;
    //getter of clubName
}

string Club::setClubName(const string& nameOfClub)
{
    return clubName = nameOfClub;
    //setter of clubName
}

void Club::loadClub()
{
    //should print "tell me the name of the next member of the club"
    //reads into the variable name
    //uses addMember() to add that person to the club
    //the input should include up to the line break as the name, so it should take in "jane doe" as an entry
    //keeps asking for more names until the user enters a blank entry

    string name;
    do
    {
        cout << "Tell me the name of the next member of the club, ";
        cout << "or submit a blank entry to stopent ering names." << endl;
        getline(cin, name, '\n');
        addMember(name);

    } while (name != "");

}

bool Club::isMember(string& name) const
{
    /*for (int i = 0; i < numMembers; i++)
    {
        for (int j = 0; j < name.length(); j++)
        {
            if (members[i] == name)
            {

                return true;
            }
            else
            {
                return false;
            }
        }

    }*/

    for (int i = 0; i < numMembers; i++)
    {
        if (members[i] == name)
        {
            return true;
        }
        return false;

    }

    //returns true if the person is a member of the club, false otherwise
}

string Club::getAllMembers() const
{
    for (int i = 0; i < numMembers; i++)
    {
        return members[i];
        cout << ", ";
    }
    cout << endl;

    //returns a string of all the names of the members of the club
    //commas and spaces separating every entry of the list
    //should not be a comma following the last name in the list

}

Club mergeClubs(Club& c1, Club& c2)
{
    //creates a new club from 2 existing clubs
    //combined club name should be Club 1/Club 2

    Club temp;
    temp.clubName = c1.clubName + "/" + c2.clubName;
    return temp;
}

Club::~Club()
{
    delete [] members;

    //destructor
    //watch out for memory leaks
}