"Happy birthday!!

I hope all your dreams come true.

With all my love"

Thank you very much in advance!!!!!

 I am a student and not a natıve speaker.  I think this will be understood.

"İyiki doğdun sana

Hep özlemini varacak umarım(word order and suffix not totally sure about)

Hep Sevgilerim"

Thank you very much, longinotti!! You were very fast.

Any native speaker can confirm it, please?

İyiki doğdun or (mutlu yıllar)!!

butun dileklerinin gerçekleşmesini dilerim

sevgilerimle

Thank you very much, selçuk. There´s in fact a difference in the main sentence...

I´ve got a lot to learn!

Tessekür ederim!!!!