Can I salvage my earlier drawing (making it export as single lines only) or do I have to start again?
If we could see your SVG file, it would help us answer that question. (I don't think attachments are allowed on this board, so tylerdurden's suggestion would be the best way)
I know this is going to sound like a strange question, but I have seen it before. Are you sure the image you're tracing is a raster image? If it's already vector paths, that would explain why the cad program sees 2 paths - because there Are 2 paths!
If that's not it, is there any chance you clicked Path menu > Stroke to Path, either on purpose, or by mistake when you were aiming at Path menu > Object to Path? Or maybe did you use Path menu > Trace Bitmap?