Issues with website: Bulletpress theme

Hi Team

Hope you are doing good. i have following issues with my website while using bullet press theme.Please help me in sorting them.

1.Unwanted graphic(blue line appears) above the main menu.(figure 1)
2.Huge gap between the logo and the main menu.(figure 2)(visit:www.tuteweb.com)
3.Huge gap between the heading of the page and content (figure 3)
4.Huge gap between the plugins (figure 4)(http://www.tuteweb.com/linux-tutorial/shell-scripting-in-linux/)

Please find the attached images and let me know how to solve this issues. i am also facing the issues with menu tab where search box is not appearing.