My daughter uses Java J2SE on her website. The website is for chatting to her mates, exchanging pics and usual teenage stuff. ( nothing untoward )
What I am asking, is Java J2SE 5.0 ok to use on the compter as recently I have had one or two unwanted files picked up on my weekly virus scan. Usually they are spyware but last week it picked up a Trojan. Looking into it more, Java seems to be the source or these unwanted files. Any ideas please?

I assume you mean the Java plugin for a browser?
If so you should be fairly safe as Java applets can only run in a restricted environment (sandbox) on your system which prevents it doing what it shouldn't.
However, no doubt some clever (?) souls will find a way round restrictions if they really want to but you can trust Java as much as you can trust your web browser.

Thanks for info and reassurance
:)