Aš studioji mokausi Lieutuviškai lietuvių kalbos.

In Lithuanian language, there are no cases when we use word "studijuoti" in sentences like these, especially with particular things that are just out of academic category. Also, in this case, you don't need to abbreviate the word "lietuvių", you need to abbreviate such words only when you mean the country, not some property of that country whatsoever.

Mano vardas Ryanas

Mano vardas Ryanas. Mano šmonos žmonos vardas yra Simona. Dabar mes gyvename Airijoje.

There's no need to use "yra" in such sentences. Of course, it's not a mistake but the word is sounds somehow redundant.

Mano vardas Ryanas

Mano vardas Ryanas. Mano šmonos vardas yra Simona. Dabar mes gyvename Airijoje. Aš studioji Lieutuviškai.