I can't give you an answer for most of these since they are personal questions, instead I will guide you through them.
1. <em>How are you affected by nature?</em> This one is simple. Just write about your thoughts on nature. <em>Do you find comfort in it?</em> This one is asking if nature is calming for you. <em>Do you reflect the mood of nature?</em> This one might be a little harder to understand, but all it's asking is if nature is if the calming or irritating (whatever mood you see in nature) is incorporated in your life.
2. <em>What is the role of nature in your life?</em> This one is similar to the first question, but it's asking how you interact with nature instead of your thoughts of it.
3. <em>What is meant by an individual's spiritual side? </em>Define what a "spiritual side" is using a textbook definition. <em>How do you define it?</em> Define what a "spiritual side" is using your own words.
4. <em>Is there a connection between the individual's spirit and nature?</em> Does one's spirit (not necessarily your spirit) and nature connect? <em>If so, what is that connection?</em> How do they connect?
5. <em>What does it mean to know something intuitively?</em> Define intuitively<em> For example, has a parent or a sibling ever known something was wrong with you without having talked with or seen you? </em>Have they? If so, you could probably use that in your writing as an example.<em> What do we mean when we say "I just know it"?</em> "Just knowing it" is the same thing as knowing something intuitively, but probably talk about how one would "just know it."
6. <em>How do you demonstrate that you are an individual?</em> You should give examples here on how you are an individual. Maybe you like to do things by yourself or you aren't heavily influenced by others thoughts and beliefs?<em> Do you think independently of others or do you follow the crowd? </em>Simply state if you fall into peer pressure in any way.
I hope you do well on your essay or whatever this is for :D