What code shouldn't be covered by unit-tests?

1. Do I need to test delegates-methods? I have class Task, in which there's a method:

   public void setValue(int value, int row, int col) {
     if (col == variableCount + 1) {
         limits.set(row - criterionCount, value);
         return;
     }
     if (row < criterionCount) {
         costs.get(row).set(col, value);
         return;
     }
     if (row >= criterionCount) {
       weights.get(row - criterionCount).set(col, value);
     }
   }
   
   

   This method of class Task was tested.

   I have another class, in which I have a method:

   setText(int value, int row, int col){
     task.setText(value, row, col);
   }
   
   

   Do I need to test it?

2. How to test an anonymous class? For example:

   field.addKeyListener(new KeyAdapter(){    
     @Override
        public void keyPressed(KeyEvent e){
        field.setText(field.getText().replaceAll("\\D++", ""));    
     }    
   });
   
   

   Am I should to create non Anonymous class.

3. How can I test pattern State? I have class that might to be in different states. And I have a method that return current state: Look, please:

   @Override
   public TableManager getTableManager() {
     return tableManager;
   }
   
   

   I stay state like this:

   if(isFirstState()){
     tableManager = new FirstState();
   }
   else {
     tableManager = new SecondState();
   }
   
   

   How can I test it? I should to use instanceof in tests?