The stove

Last night I found myself sleeping with light up (sleeping with the light on). I wake up(woke up) after about three hours sleep. 1.) I forgot to turn off the stove, and when I woke up, the oil was empty and it smelled terrible. I turned off the stove in a fluster.
2.) I'll have to full the oil when I come back home today. It makes me feel terrible when I think of it.
3.) However, I think it's so lucky enough to be able to use the stove whenever I'm cold.

1.) This is a good sentence, but, in English, we call this a "run-on", meaning that it's a bit too long. Try something like this:

"I forgot to turn off the stove. When I woke up, the oil was empty; it smelled terrible." 

2.) In English, sometimes it is hard to remember the proper form when using verbs. 

"I'll have to fill the oil when I come back home today." 

or

"When I come back home today, I'll have to fill the oil."

Notice the difference between "full" and "fill"? "Full" is the state of being occupied by something. By this I mean, something is taking up space within the container. For example: "The glass is full of water." In this example, the space inside the glass is being filled by the water. 

3.) This is a good sentence, but the structure is a bit improper. Consider the use of "it's", in this sentence. If you are referring to yourself, then "I am so lucky..." is a better choice of words. It also sounds more natural :

"However, I think that I am so lucky to be able to use the stove, when I am cold."

This was a very good entry, Ayano. There are only a few things that need some attention. The flow of your words is very good! Keep working hard! 

昨日、気が付いたら電気をつけたまま、いつの間にか3時間ぐらい眠っていました。
ストーブをつけたまま寝てしまったのですが、起きたらストーブの灯油がなくなっていて、変なにおいがしました。
今日、帰ったら給油をしないといけません。
今から憂鬱です。でも、寒いときにストーブが使えることは、本当に幸せなことだと思います。