My god.. 3 hours for a cover letter, mind sharing an example of one?
Don't forget that this isn't a hackernews comment. You should take an hour (day is better!) break and then reread and revise everything. Don't send the rough draft or even the second draft in - follow the whole writing process they told you in school. Some people will spot a spelling error at the bottom of the page in one second and reject you, so make sure everything is perfect.