An interface promises nothing about an action! The source of the confusion is that in most languages, if you have an interface type that defines a set of methods, the class that implements it "repeats" the same methods (but provides definition), so the interface looks like a skeleton or an outline of the class.
The first word in the interface value points at what I call an interface table or itable (pronounced i-table; in the runtime sources, the C implementation name is Itab). The itable begins with some metadata about the types involved and then becomes a list of function pointers.
42 The interface keyword indicates that you are declaring a traditional interface class in Java. The @interface keyword is used to declare a new annotation type. See docs.oracle tutorial on annotations for a description of the syntax. See the JLS if you really want to get into the details of what @interface means.
An interface is a good example of loose coupling (dynamic polymorphism/dynamic binding) An interface implements polymorphism and abstraction.It tells what to do but how to do is defined by the implementing class.
If both interfaces have a method of exactly the same name and signature, the implementing class can implement both interface methods with a single concrete method. However, if the semantic contracts of the two interface method are contradicting, you've pretty much lost; you cannot implement both interfaces in a single class then.
Yes, your example of defining an interface only for the particular items would be a more useful way to do it. It would be quite rare to have an array of items, but not want to conveniently reference a single item. Using a real array also exposes .length on the interface, which will probably be used quite often.
An interface in java is a special type of Abstract class, the Interface provided the 100% Abstraction but since the java introduce new features in java 8 the meaning of whole Interface is change.
Interface inheritance is an excellent tool, though you should only use it when interface B is truly substitutable for interface A, not just to aggregate loosely-related behaviors. It's difficult to tell whether it is appropriate for your specific case, but there's nothing wrong using the practice in principle. You see it in the first-rate APIs all the time. To pick just one common example ...
An Interface is more of a high level architectural tool (which becomes clearer if you start to grasp design patterns) - an Abstract has a foot in both camps and can perform some of the dirty work too. Why use one over the other? The former allows for a more concrete definition of descendants - the latter allows for greater polymorphism.
In the interface, there is no code. You just specify that there is a property with a getter and a setter, whatever they will do. In the class, you actually implement them. The shortest way to do this is using this { get; set; } syntax. The compiler will create a field and generate the getter and setter implementation for it.