Firefox does not create backups of the cookies, so if deleted they can not be recovered.

If you created a backup of your profile folder, you could restore the cookies.sqlite file from your backup.

Your plugins list shows outdated plugin(s) with known security and stability risks.

• Java Plug-in 1.6.0_03 for Netscape Navigator (DLL Helper)

Update the Java plugin to the latest version.

• http://java.sun.com/javase/downloads/index.jsp (Java Platform: Download JRE)