Do I understand correctly that You are wondering - not whether You were being watched? Or do you want someone to watch? Remote monitoring programs - car and extra truck, and a large part does not inform the user that he was under surveillance. For this and the password is not needed.
Or the files You need? If there is a domain, any domain computer using a domain available ball C$, D$, etc.
If just about RDP question - that is possible under two conditions - but it is immediately noticeable after the comp:
- remote access on the computer is enabled (disabled by default)
the right remote access provided by this uchetku ( default when enabled, only admins)