Hey Jacob,
does sound like a codec issue. I’d suggest making sure you’ve got everything installed & up to date.
I’d start with updating Final Cut Pro to the latest version which I think is 6.0.5 (software update should handle that for you).
If that doesn’t solve your problem, perhaps check you’ve got all the SxS components. Here’s a few links to bits and pieces that may help:
Have you got the SxS driver?
https://www.sonybiz.net/biz/view/ShowContent.action?product=PMW-EX1&site=biz_en_EU&category=XDCAMCamcorders&contentId=1193315621889§iontype=Product&preserveContext=true
Log & Transfer Plugin:
https://www.sony.co.uk/biz/view/ShowContent.action?product=PMW-EX1&site=biz_en_GB&category=XDCAMCamcorders&contentId=1214313427691§iontype=Product&preserveContext=true
Xdcam Transfer:
https://www.sony.co.uk/biz/view/ShowContent.action?site=biz_en_GB&contentId=1166605189229
Clip Browser:
https://www.sony.co.uk/biz/view/ShowContent.action?site=biz_en_GB&contentId=1193315622075
It sounds like your friend just gave you converted quicktime files from the EX1, and you don’t still have SxS Card(s) still with footage, or the folder (/BPAV) data from the card. But if you have the card or the “BPAV” folder off the card, a simple workflow for injesting xdcam ex footage from inside FCP is to go “File > Import > Sony XDCAM” which launches Xdcam Transfer, a utility for converting & importing Xdcam footage. If you’ve still got the cards and want more details on doing this let me know.
(That’s how i’m currently doing it, but a lot recommend using the Clip Browser Utility from Sony)
Good luck with it.