Dillema

First of all I have to say this is a wonderful poem and I loved the way you described this girl being in love with two by using a candle. It was very smart.
And second I just wanted to help you with some grammatical errors:

No you didn't lost your mind
(here it should be- lose your mind.)
You can still change your mind
You still have plenty of time
In the end it rest ( here it should be rests)with which ever you're fine

Not for him
Not for me
It's for own self only ( it would sound better if you said your self only)

I think you're a dime
A person whose worth spending time
We can chill by the beach
drinking coke with lime

Hopefully the weather is fine
If it rains
There's always the train
By the way
I forgot to say
you looked lovely with that chain

Your heart is in pain
your feelings ain't ( aren't) the same
you're in love with two person (here it should be people)
who has (have) the same name

Nope ( I would prefer no here instead of nope but that just depends on what you like) this is not a love game
Nope (same thing here) this can never be the same
Two candles
Both fighting for the same flame

Only one will be lit
Only one will gain
But it all lies with
which candle the flame
choose(s) to claim
Anyway the ideah and thoughts were perfect, just change those errors and the poem will flow better.
Overall your poem is very good 5/5