Critic my Poem?

Its said the best writing is often inspired by tragic,sorrowful or venemous events. This is my first attempt at poetry. I know it is amateur and does not subscribe the modern rage of free verse. It is inspired by the almost concurrent lose of the most prescious creature I have known, a cat named Jamilla Sinjab and my wife of 29 years deciding the best relationship we can have is to be no more than friends.

http://jamilla-sinjab.last-memories.com/

Please give your honest thoughts on how to improve this poem.

Amor Jamilla

You must be thinking

how tricky and clever of him

To write you this poem

as if he were me, Jem

I tell you this now

dont think what it seems

I speak with him daily

quite often in dreams

I know you love poetry

and music and laughter

Returning this to you

is what I am after

I rest by your side

you rub my furred brow

The memory of this

I recall fondly now

I speak to you softly

from a long way afar

You keep unsafe feeling

locked tight in a jar

Surely you learned

from our time together

To cherish each moment

among flowers and heather

To learn from the past

not fear the future

The present is sewn

tightly with suture

One door you closed on him

the other open for me

This leads to demise

of both he and thee

I find no fault of you

my love is to forgive

we both spent our time

learning to love and to live

You took the man

to have and to hold

Then one named Barak

captured your soul

Losing dear Molly

caused him to regret

To find her replacement

he soon was set

You found me through paws

Im certain of that

Instantly he knew me

"what an african cat"

Its puzzling to me

and so it seem

not seeing beyond wants

and into the dream