Are you drawing in vector format ?
At first read IT looked like to me ,that you created your art in photo shop then exported in eps then traced in corel ? So its a picture not a vector.
Tracing always adds jags.
You'll just have to learn to edit the vector tracing
My plotter came with Flexisign and it has tools for straighting a line between 2 points or a curve with 3 points that I mostly use.
Or just import the picture and draw a new one on another layer.( some times quicker)
I would think that corel has the same type of thing.
multi colors on mine ,you just draw it in different colors , when you send it to the plotter ,you tell it to cut only one color, run it , change vinyl select next color and so on .
What kind of software did the plotter/cutter come with ?
Mostly its play until you figure it out.
There are people here that have more knowlege than me , perhaps they will chime in.