Ok I have everything working for the most part. I think. Here is what I am trying to do. I am to allow the user to enter the name of an employee, hours worked over 5 days, and pay rate. I have done that. I am then supposed to generate a table of names, total hours worked and total pay. I don't think I am using the EmployeeModel class correctly. I am to use this class.

public class EmployeeModel extends Object {

   public static final int MAX_EMPLOYEES = 20;

   private Employee[] employees;
   private int employeeCount;

   public EmployeeModel(){
      employees = new Employee[MAX_EMPLOYEES];
      employeeCount = 0;
   }

   public Employee getEmployee(int position){
      return employees[position];
   }

   public String addEmployee(Employee emp){
      if (employeeCount == MAX_EMPLOYEES)
         return ("Sorry - no room in array");
      else{
         employees[employeeCount] = emp;
         employeeCount++;
         return null;
      }
   }

   public int getCount(){
      return employeeCount++;
   }
}

And this

public class Employee extends Object {

   // Class variables (actually, constants)
   static public final int MAX_DAYS = 5;
   static public final int MAX_REGULAR_HOURS = MAX_DAYS * 8;
   static public final double OVERTIME_RATE = 1.5;

   // Instance variables
   private String name;
   private double payRate;
   private int[] days;

   // Constructor methods

   // Initialize a new employee's name to the empty string and her
   // pay rate and hours worked to 0
   public Employee(){
      name = "";
      payRate = 0;
      days = new int[MAX_DAYS];
      for (int i = 0; i < MAX_DAYS; i++)
         days[i] = 0;
   }

   // Initialize a new employee's attributes to the given parameters
   // Preconditions: payRate > 0
   //                size of array == MAX_DAYS
   public Employee(String name, double payRate, int[] hoursWorked){
      if (hoursWorked.length != MAX_DAYS)
         throw new IllegalArgumentException(
               "Array must have " + MAX_DAYS + " days");
      if (payRate <= 0)
         throw new IllegalArgumentException("Pay rate must be > 0");
      this.name = name;
      this.payRate = payRate;
      days = new int[MAX_DAYS];
      for (int i = 0; i < MAX_DAYS; i++)
         days[i] = hoursWorked[i];
   }

   // Set an employee's name
   public void setName (String name){
      this.name = name;
   }

   // Get an employee's name
   public String getName (){
      return name;
   }

   // Set an employee's pay rate
   // Precondition: newRate > 0
   public void setPayRate (double newRate){
      if (newRate < 0)
         throw new IllegalArgumentException("new rate must be > 0");
      payRate = newRate;
   }

   // Get an employee's pay rate
   public double getPayRate (){
      return payRate;
   }

   // Set the hours worked on the indicated day
   // Preconditions: 1 <= whichDay <= MAX_DAYS
   //                hours >= 0
   public void setHours (int whichDay, int hours){
      if (whichDay < 1 || whichDay > MAX_DAYS)
         throw new IllegalArgumentException(
               "Day must be >= 1 and <= " + MAX_DAYS);
      if (hours < 0)
         throw new IllegalArgumentException("hours must be >= 0");

      days[whichDay - 1] = hours;
   }

   // Get the hours worked on the indicated day
   public int getHours (int whichDay){
      if (whichDay < 1 || whichDay > MAX_DAYS)
         throw new IllegalArgumentException(
               "Day must be > 1 and <= " + MAX_DAYS);
      return days[whichDay - 1];
   }

   // Compute and return an employee's total hours
   public int getTotalHours(){
      int total = 0;
      for (int i = 0; i < MAX_DAYS; i++)
         total += days[i];
      return total;
   }

   // Compute and return an employee's weekly pay
   public double computePay(){
      int total = getTotalHours();
      int overtimeHours = total - MAX_REGULAR_HOURS;
      if (overtimeHours > 0)
         return payRate * OVERTIME_RATE * overtimeHours +
                payRate * MAX_REGULAR_HOURS;
      else
         return payRate * total;
   }

   // Return a string representation of a employee's name, pay rate
   // and hours worked.
   public String toString(){
      String str = "Name:      " + name  + "\n" +
                   "Pay rate:  " + payRate + "\n" +
                   "Hours worked:\n";
      for (int i = 0; i < MAX_DAYS; i++)
         str += "Day " + (i + 1) + ": " + days[i] + "\n";
      return str;
   }

   // Compare two employees for equality
   public boolean equals(Object other){
      if (! (other instanceof Employee))
         throw new IllegalArgumentException("Object not an employee");

      Employee employee = (Employee)other;
      return name.equals(employee.name);
   }

   // Compare two employees for order
   public int compareTo(Object other){
      if (! (other instanceof Employee))
         throw new IllegalArgumentException("Object not an employee");

      Employee employee = (Employee)other;
      return name.compareTo(employee.name);
   }
   // Clone a new employee
   public Object clone(){
      int[] newDays = new int[MAX_DAYS];
      for (int i = 0; i < MAX_DAYS; i++)
         newDays[i] = days[i];
      return new Employee (name, payRate, newDays);
   }

}

This is my main.

import java.util.*;

public class EmployeeDriver{
  public static void main(String[] args){
   
    //Creates a default EmployeeModel object
    EmployeeModel emp1 = new EmployeeModel();
    Scanner keyboard = new Scanner (System.in);
    System.out.println("Do you have Employee to enter. Yes or No");
    String option = keyboard.next();
    while(option.equals("Yes")){
    
    System.out.println("Please Enter the Empoyee name.");
    String name = keyboard.next();
    
    System.out.println("Please enter the number of hours worked for each day");
      int [] hours = new int [5];
      for(int i=0; i<hours.length; i++){
        hours[i] = keyboard.nextInt();
      }
    System.out.println("Please enter the pay rate.");
      double rate = keyboard.nextDouble();
      
      
      emp1.getCount();
       Employee employeeCount = new Employee(name, rate, hours);
       System.out.println(employeeCount.toString());
       emp1.addEmployee(employeeCount);
       
         System.out.println("Do you have another Employee to enter. Yes or No"); 
          option = keyboard.next();
          employeeCount.getName();
    }
  }
}

My problem is that it is not creating more than one Employee and doesn't keep track of the different name, rate, and hours. Any idea of what I am doing wrong.

It looks like you code is working right, you just don't have a print statement that will make the table.

for(int i = 0; i < emp1.getCount(); i++)
{
   emp1.getEmployee(i).toString()//
}

emp1.getEmployee(i) returns an Employee object, the toString() prints out the Employee object.
This is how you would print out the table.
Not sure about the other problems yet.