Do I Have To Be An Artist To Go Into Graphic Design?

That is not needed.you gotta have a great deal of creativity,that will do!!!

Graphic as well as logo design is a highly lucrative profession, because the Web is quickly becoming the most important tool any organization, business, or individual has to get a message out to the public. Many of today's graphic designers are almost entirely self-taught, and this is entirely possible to do, but if you want to be viewed as an expert, you may need some formal education and on-the-job training. However if you have the passion and commitment you can become a successful graphic designer without formal education as well.

No, but, the field has changed to mostly digital art forms. Your best bet is to learn web design.
Graphic design & web design are merging more & more at this point. Graphic Design & illustration use to be closer but, now its all digital.