Bacground?
 

Hello, please look at my screenshot in my attachments, how can I remove that white background/space as well as vbulletin's logo on top? (The space outlined in red?)

the "page" selector

Could you tell me where and what exactly? I am kind of a noob here...

That background is defined in the CSS settings of the style. Go to your style manager and edit the CSS values. I am not certain which value it is named.

Okay, did it. Now, how can I remove the purple bar next to style selector, and how can I align the drop down style selector so that its aligned with the forum tables?

Please provide a screenshot of what you are trying to accomplish. That would help greatly.

On the screenshot that I have provided, on the bottom you have style selector it says 'Default Style' I want to move that a little bit to the right, and the purple bar next to it I want it to be removed.

I don't see a purple bar, and adjusting the borders can also be done within the CSS properties of the style. I am not sure of which value again. It may be the same one as the background... Just change pixel values.