Desktop Icons removal

Sorry to ask a dump question, but on my desktop in the top corner I have three icons, Windows7 Parallels (small red monitor icon) and the Time Machine Backups (hard drive looking icon) and the Disc Eject icon.
If I delete these icons will I loose any functionality?

If they are not aliases, then yes, you would.

How do I know if they are. Aliases or not ?

An alias, if not renamed by the user, has the word "alias" in the name. Ok, pretty obvious that's not the case here.
If you do Get Info, the first line, "Kind", says Alias.
The icon of an alias has a small, black, curved arrow symbol in the lower left corner.

Or, to express this visually:

Try going into Finder Preferences and deselecting everything under 'Show these items'.