reality vs non-reality

It seems to be that last nights dream has gained me a bit of insight about dreaming and the world of being lucid, last nights dream I did not become Lucid at all.

For example, I hate my father, I don't live with him I don't have any contact with him, but last night I was with my mother and we had an argument, I told her I didn't want to see her again, so I decided I would go to my fathers and tell him I didn't want to see him again, then I was wondering why am going there, I started to really wonder, then it hit me that I no longer lived with him and that I lived with another carer. Which is true, I do not live with my father I live with a carer.

Would this be some kind of awareness I gained?

I woke up this morning writing my dream journal down and it seems to me that we think that our dream is actually "our reality" am I correct? meaning this is why its hard for us to Lucid dream because we need know the different between whats a dream and whats not, right?

Sounds like you managed to access a bit of your waking life memory, which is good.
Yes, in non lucid dreams we obviously think we're awake and mistake the dream for our reality, that's why they're non lucid dreams.

I often feel as though there are times that we mistake a dream for reality, but more often than not, we don't even care what reality we are in, because our brain is pre-occupied with whatever dream is playing out.

I've always thought that dreams are you travelling through the astral plane, and while there are entities there that effect you, you ultimately project scenes over/ontop of every spirit there. So what happens is you start restructuring memories from the past into a collage of events that you remember, this all together makes up your dreams. However I've heard that dreams are not just past memories, but also waking life memories, so the reason there is so much nostalgia in dreams is because every event in a dream is a projection created from various real memories in your life.

What's interesting about this is, that your memories in dreams (founding the entire dream state projection) are not only from the present (waking life), or past (waking life) but they are actually deja vu/precognition from the future (memories you already experienced in the future). And even more confusingly, most of the strange un-explainable memories you have absolutely no idea about, came from past lives, parallel universes (different possibilities) and future lives. However when you start lucid dreaming your subconscious hands over the "controls" to you, so you can remove the veil of your recollections to see what's really behind your projections. In waking life this lucid dreaming is simply known as "day dreaming". If you come to understand what day dreaming really is, it's simply imagination. So lucid dreaming is basically you contacting other spirit's ideas to match your frequency of thoughts at the time.

In your dream, you had a memory that led to you to become skeptical of what was playing out. This resulted in what's called in a pre-lucid state.

Our dream is our perception of reality. It's hard for us to lucid dream because our actions in our dreams are controlled by our subconscious habits and instincts. So, if we are habitually unaware of our place in the real world (as most of us are), then we'll be unaware of our place in our dream world as well.