Okay, couple of things off the bat…there were a couple of clipping masks in there that had to be released and deleted…the GFUI can’t handle them yet.
Second… I found your double lines…did you do a trace on a drawing of a map that had a drawn black line with white on either side of it to create the trace? It created a cutline on either side of the black line that it saw. (Common occurrence.)
If you zoom way in on the trace and switch from Preview mode to Outline mode, you can see the double cutlines.
From this, which is what it looks like in Preview mode:
To this, which is what is actually going to cut: (Outline mode)
Did you want to score the continents? Or cut out around them?
If you want to score them, with all of the inside lines and whatnot, when you do the Live Trace, choose Technical Drawing and increase the Threshold to about 243 or so, and make sure Ignore White is checked. Expand that once after the trace and it should turn into single paths. (Check it by switching to Outline viewing mode.)
Give that a try and see if it works a little better. The ovals and end points are set up to engrave correctly.