Good job Nuria! Es muy dificil para trabajar y tambien aprender idioma nueva.

Most of your writing is correct! Here are various other ways that you could say this in English.

<em>I start!</em>

I'm starting!

I am beginning!

Here I go! (slang)

<em>Hi everybody,</em>

Hey guys,

Hi folks (slang)

Sup peeps (slang)

<em>I'm an elementary school teacher.</em>

I teach elementary school. 

I am a teacher at an elementary school. 

<em>Now I take a break for my studies of doctorate.</em> 

I'm taking a break to study my doctorate. 

Now I am having a break and am studying for my doctorate.

I am taking time off to work on my PHD. 

<em>I like to travel so is necessary for my this language.</em>

This language is important because I like to travel. 

I love traveling so learning this language is necessary.

I enjoy being able to travel so learning a new language is a must.

<em>In the place where I live we speak Catalan and Spanish, nobody speak in English, so is difficult for my to learn without travel.</em>

Where I live, people only speak Catalan and Spanish.  This makes it difficult to learn without traveling. 

People only speak Catalan and Spanish here.  This makes it harder to learn.