Fermo, senza che mi leggo tutto quel ben di codice:

codice:
// tua classe contenitore...
//...

//classe che estende JLabel + classe ad-hoc
private class MyJLabel extends JLabel {
        
        private class MyMouseAdapter extends MouseAdapter {
            
            private MyJLabel label;
            
            public MyMouseAdapter(MyJLabel label) {
                this.label = label;
            }
            
            public void mouseEntered(MouseEvent me) {
                System.out.println("Entrato in "+label.getName());
            }
            
            public void mouseExited(MouseEvent me) {
                System.out.println("Uscito da "+label.getName());
            }
        }
        
        public MyJLabel(String icon, String name) {
            super(new ImageIcon(icon));
            this.setName(name);
            this.addMouseListener(new MyMouseAdapter(this));
        }
    }