Actually, Dragonfree's fic "The Quest For the Legends" uses levels for the Pokemon. But in her fic, they're just not levels. I don't know how she actually uses them in the fic because I haven't read it yet, but I do know that she uses them.
That said, there were a few problems with this fic. The first and basic problem is that your grammar needs to be improved. You should write a fic in a word processing program. It's a basic rule of writing a fic for posting on a forum. This way, you can see what mistakes you make and take your time writing the chapter.
What I can tell you now is that the pronoun for first person singular is always capitalized. So all those single little "i's" need to be capitalized.
The next problem with this is that there is no description. The battles that I read in your fic are not exciting because there is no description of what's going on. Oh, so Starly uses Quick Attack? What about "The small bird flapped its wings fast. Picking up speed, it dove from the sky, sharp beak pointed straight at Biddof." It's an improvement, adds more length and description of the creatures, and sounds more exciting.
Besides, with description, then your readers won't need checkpoints to remember what Pokemon the trainer has. Because it will be knowledge gained just by reading the narration. There's no need to remind your reader what just happened.
Also, what you could describe is your main character. A name would be nice, but really isn't needed. But feelings are needed. How does this new trainer feel stepping out into the world? How does this trainer feel when the Starly breaks free from the Pokeball? Take some time out and talk about the feelings!
Your best bet to get some good advice is to check out the
Basic Writing Guide. There's some advice in there that's very helpful to writers of all levels.
Keep practicing at your writing.