Respostas:
a) Package java.util
Contains the collections framework, legacy collection classes, event model, date and time facilities, internationalization, and miscellaneous utility classes (a string tokenizer, a random-number generator, and a bit array). http://docs.oracle.com/javase/6/docs/api/java/util/package-summary.html
b) java.applet.
A Java applet is a special kind of Java program that a browser enabled with Java technology can download from the internet and run. An applet is typically embedded inside a web page and runs in the context of a browser. An applet must be a subclass of the java.applet.Applet
class. The Applet
class provides the standard interface between the applet and the browser environment.
http://docs.oracle.com/javase/tutorial/deployment/applet/index.html
c) java.graphic
The Graphics
class is the abstract base class for all graphics contexts that allow an application to draw onto components that are realized on various devices, as well as onto off-screen images.
http://docs.oracle.com/javase/1.4.2/docs/api/java/awt/Graphics.html
d) java.image
Na verdade é java.awt.image
http://docs.oracle.com/javase/tutorial/2d/images/index.html
e) Package java.awt
Contains all of the classes for creating user interfaces and for painting graphics and images.
fonte: http://docs.oracle.com/javase/1.4.2/docs/api/java/awt/package-summary.html