ok, i am a C# man, but you can easly Convert the code.
first , in the first listbox you dont need to check every item. in the ListBox1_SelectedIndexChanged you must have only one line, this line will add the item in the second listbox like this
ListBox2.Item.add(ListBox1.selectedItem);
this is just an example code, i did not copy form Vs, this is to show you how you could do it.
Regards
Vuyiswa Maseko