Lettering is a visual art form. Calligraphy is the design and execution of writing with a broad tip instrument or brush (penmanship). Hand-lettering is where you build up drawn letterforms (draftmanship). Typography refers to the design of the actual typeface (the letterforms).
An illustration is visualization or a depiction of a subject made by an artist, a graphic representation. Graphic design is visual communication, and problem-solving through the use of type, space and image. Design is about distributing white and negative spaces equally.
Printmaking is an indirect means of creating art by transferring an image or design by contact with a matrix such as a block, plate, stone or screen. It’s a process for reproducing text and images using a master template, a form of art that involves transferring ink to paper.