1. Kisses and congratulations to the sweet child on his first, big birthdayparty. (a 1 year old).

2. Happy Birthday "name" on this special day. We wish you a great day and many more years to come. We hope to see you soon. Unfortunately we could not celebrate with you this year, but you are all in our thoughts. Greetings to mum and dad as well. We miss you all.

Love from "name" and "name"

(If there is anything else that I should say to the birthdaychild, please feel free to add it )

I am not a native speaker.  I can suggest a few simple things.

"Kisses and congratualations to name on his first birthday"

Name´in ilk doğum günüsünde ona  çok çok tebriklerim ve öpücüklerim

"Happy Birthday many happy returns"

Iyi ki doğdun sana.  Mutlu yillar Name´a.

Sevgilerimizle  name ve name.

Thank you Uzun Hava

Can anyone confirm this? And is anyone able to translate the rest?
I would like to send the birthdaycard soon.

1. Kisses and congratulations to the sweet child on his first, big birthdayparty. (a 1 year old).

Tatlı bebişe ilk büyük doğumgünü partisinde öpücükler ve tebrikler!

2. Happy Birthday "name" on this special day. We wish you a great day and many more years to come. We hope to see you soon. Unfortunately we could not celebrate with you this year, but you are all in our thoughts. Greetings to mum and dad as well. We miss you all.

Love from "name" and "name

Bu özel günde NAMEin doğumgünü kutlu olsun. Size müthiş bir gün ve (birlikte) nice yıllar diliyoruz. Umarız yakında görüşürüz. Ne yazık ki bu sene beraber kutlayamadık ama hep aklımızdasınız. Anne ve babaya da selamlar. Hepinizi özledik.

Name ve name´den sevgilerle

ÇOK sağol Dilliduduk That was great.

I wish you a wonderful day.