Writing

I have been lazy about writing for quite a while now period of time. Since this is the weekend and I am not going anywhere to weekend at other places, I think I shall spend my time wisely nonetheless. Am I not right? Well, I am going to write a long, long epic. It will appear in the corrections box.

Err... do you really want us to correct your epic text as well? ':)

Anyway, here are my notes:

"I have been lazy to write" - this sounds like your laziness has a purpose: "I have been lazy (in order) to write." I replaced it with a gerund, but Melaminefree's suggestion of I have been too lazy to write is probably the neatest solution to the problem.

"for a period of time" - this sounds complete and specific. My correction gives a vaguer sense of time, to fit with your laziness of late. 

Your use of "going to weekend" makes weekend sound like a verb. This sounds strange (plus, "at other places" still sounds too specific).

Nonetheless - ie. even though you're staying at home, it won't be wasted time.

Just a bit of fussy polishing from me. :)

Writing

I have been too lazy to write for a period of time. Since this is the weekend and I am not going to weekend at other places, I think I shall spend the time wisely. Am I not right? Well, I am going to write a long, long epic. It will appear in the corrections box.

Consider rephrasing, writing should be concise when using generalizations. "while" could replace the text noted in orange.

Again, same issue. This could be rephrased as "go anywhere", "do anything", or you could restructure the clause as "Since I don't have any plans for this weekend,...)

Note that this is an adjective used to describe something, outside of defining a type of literature. Those without a literary background may not understand what you are talking about. Something more generic may be better in this case.

Since this entry is full of corrections, I am going to write my "epic" on a new entry. :) Thanks for all of the corrections. :)