Only true virus infections (small piece of virus code inserted into a legit file) can possibly be repaired, these aren't virus infections as such and the whole file is considered malicious.
The [Expl] is Exploit and in this case trying to exploit your version of JAVA, which is most likely out of date:
- I would also suggest a visit to this site, which scans your system for out of date programs that have patches to close vulnerabilities, http://secunia.com/software_inspector/
Generally the best option is to move to the chest:
Deletion isn't really a good first option (you have none left), 'first do no harm' don't delete, send virus to the chest (a protected area) and investigate.
There is no rush to delete anything from the chest, a protected area where it can do no harm. Anything that you send to the chest you should leave there for a few weeks. If after that time you have suffered no adverse effects from moving these to the chest, scan them again (inside the chest) and if they are still detected as viruses, delete them.
However, in this case there would be no harm in deletion.
JAVA isn't actually important as it isn't essential, unless websites that you visit use JAVA then you don't actually need it installed.
No HDD recovery is required other than ensuring that you have the latest version of JAVA if it is absolutely required.