Iterative deepening depth first search in a 2d array

I am trying to implement iterative deepening search in a 2d array (a maze).

static void Run_Ids(int x, int y)
    {
        int depth_limit = 0;

        while(!cutoff)
        {   
            out.println("Doing search at depth: " + depth_limit);             
            depthLimitedSearch(x, y, depth_limit);
            depth_limit++;
        }      
    }

And here's my Limited depth first search using a stack. For some reason, it goes back and forth between two cells. It doesn't expand like it should. I think its something wrong with my DFS algorithm here.

static void depthLimitedSearch(int x, int y, int depth){        
    Pair successor;    //pair is the x, y co-ordinate
    successor = starting();  //set the successor to starting cell

    stack = new Stack<>();
    int i = 0;
    stack.push(successor);

    while (!stack.isEmpty())
    {
        out.println("i level: " + i);
        Pair parent = stack.peek();   //pop it here?

        if (parent.x == Environment.goal[0] && parent.y == Environment.goal[1]){  //check to see if it is the goal
            cutoff = true;
            out.println("goal found ");                
            break;
        }
        if (i == depth){
            //stack.pop();   //pop here?
            break;
        }
        else{

            Pair  leftPos,rightPos,upPos,downPos;
            leftPos = leftPosition(parent.x, parent.y);
            rightPos = rightPosition(parent.x, parent.y);
            upPos = upPosition(parent.x, parent.y);
            downPos = downPosition(parent.x, parent.y);


            if(Environment.isMovePossible(rightPos.x, rightPos.y))
                                        //if it can go right
                   stack.push(rightPos);   

            if(Environment.isMovePossible(leftPos.x, leftPos.y))
                                       // if it can go left
                   stack.push(leftPos);

             if(Environment.isMovePossible(downPos.x, downPos.y))
                                     //if it can go down
                  stack.push(downPos);

            if(Environment.isMovePossible(upPos.x, upPos.y))                
                                        //if it can go up
                    stack.push(upPos);


            stack.pop();         //pop here?


        }  //else       

        i++;

    }//while     
}

I don't have that much experience with stack, and i am confused as to where to push it and where to pop. if somebody in here can point me to the right direction, that would be great!