If you're having lucid dreams without willing them to happen, then what we'd call you is a natural.

Seeing as you're having difficulty with thinking about whether you're dreaming or not, I'd suggest you start doing regular Reality Checks.
A Reality Check is anything that makes you question reality. Do them regularly while you're awake in the day, then when you go to sleep the habit of Reality Checking will carry over and you'll often realise that you're dreaming.
You can read more about Reality Checks (or RCs) here in a tutorial that DV's former Dream Guide Shift wrote:
Reality Check Tutorial

Also, welcome to Dreamviews Andrei, if you have any questions about anything then feel free to drop a Private Message to any of the staff here, particularly the Dream Guides.