Today

First, I need to upload all of my personal records on a website, then I need to start on a new post and work on different books.
"a website" : It is necessary to put an article before a noun, either 'a' (if you do not specify the noun, before nouns that start with a consonant), 'an' (if you do not specify the noun, before nouns that start with a vowel), 'the' (if you do specify the noun). 

Today is an exciting day for me. I am so happy.
I just want to count each second and not waste any time. Life is worth living and we should strive hard to live it.
However, I honestly do not know why we as English speakers don't put an article before "life", as is found in one of your sentences.

The world is an amazing place where you discover new things every day.
Since you are speaking specifically about this world in your last sentence, you have to put "the" before "world". 

Usually when referring to a place, the proper adverb to use is "where". 

3 mordad 96.

Hope this is helpful! Don't hesitate to ask questions if you have any (:

Today

Today, I am off, but I have a lot of work to do. First, I need to upload all of my personal records onto the website. Then, I should start on a new post and work on different books. Today is an exciting day for me. I am so happy.

Here you go, Najmieh. Please feel free to ask if you have questions =)

Today

Improve more on capitalization and sentence structure. Overall, good entry.