I can't tell if the java updates are dependent on other updates, so IMHO, yeah I'd run them all.
If you are comfortable with the Terminal, you can see what gives with
For OS 10.4.11, I get
Code:
java version "1.5.0_16"
Java(TM) 2 Runtime Environment, Standard Edition (build 1.5.0_16-b06-275)
Java HotSpot(TM) Client VM (build 1.5.0_16-132, mixed mode)