Problems sharing an InDesign file between new Intel Mac and PC

I created an InDesign document on my new Intel MacBook using Rosetta I assume, only to find I am unable to open it at work on a PC running Windows. On the PC I get a message that the filename contains one or more unrecognized characters.(Filename was a short five letter word.) It suggests changing the name in Windows, which I tried, but it still will not open. In the past I have effortlessly moved InDesign documents between my old G4 iMac using OS 10.3.9 and the PC. The only difference now is OS 10.4 and the intel based MacBook. Before this problem however, InDesign, which seemed to work fine in Rosetta, had some trouble holding onto fonts. Linked files would turn into gobbledegook that looked like a missing font (font used was Arial, which is a universal font) when the MacBook was shut down for a while, then restarted. Relinking to the original Word file seemed to fix the problem, until the next time I shut down the MacBook, when it recurred. I am tired of rebuilding the same document over and over, and now being unable to open it on the PC where it will be printed from. Must I go back to my older, slower machine to build this document? Or is there something I am missing?

MacBook Mac OS X (10.4)