Moja prva ulazna vježba (vježba - excercise) 

Zdravo! Zovem se Jade. Ja , sam a Amerikanka (1)  koja uči m bosanski. nanski.  

You could also say: " Zdravo! Ja sam Jade, Amerikanka koja uči bosanski. "

1. Names of the nationalities are capitalized. 

Really nice job, just keep it up. 

If you need any help, feel free to ask me... I am going to help you with pleasure. 

If you need classes, you can book them here: http://www.italki.com/teachers/professional#teach=bosnian&availability=9&within=-1&speak=all&page=1&tags=&child-tags= ;

Have a nice day. 

Moja prva ulazna (?)*

Zdravo! Zovem se Jade, sam Amerikanka i (ko?) učim bosanski.

I suppose you wanted to say that it is your first submission here.