There is only one mistake, and it is crossed out. My suggestions are in parentheses. I think that if some words were omitted, it might flow better, more like a poem, which this seems to resemble. Of course it still sounds great as is and there are only two errors.

Don’t let go of me

For I’m still here
My spirit refuses to leave...
(do not let go of me

for I'm still here)

Don’t let go of me
For if it was you (if it were you)
I would hold on to you(I would hold on)
And never let anyone harm you or take you away from me...

Don’t let go of me
Give me one more chance to hold my kids close to my heart and watch over them,
Let me tell them how lucky I’m I am to have them and how much they mean to me...

Don’t let go of me,
Celebrate my day of birth (the day that I was born) and never mention the day I left,
Remember my life, laughter and the things I do the best 
Talk about me (speak of me)  as a in the present (as if I still were here) and future (as if I were yet to be),
But never as a in the past (as I once had been), or the last case   worse,  of about my death

Don’t let go of me
For I’m  a believer and I'm not done  with my hopes & dreams yet, (for I am a believer and am not done yet with my hopes and dreams..)
I lived my whole life imagining them becoming real (imagining them come to life) in my head,
My life plans could be accomplished & could be real (my plans are yet to be accomplished and are real)
They just need me to be present (They just require I be present), they need me to be right here (they need me here)

So please try to feel me
And never let go of me...

(so try to feel me and please, and never let me go)