Sounds like you already had another version of the files installed on that machine....
No, and I have reinstalled all of the fonts (took me a lot of time :@ ) and even now the problem still occurs.
Anyway, I guess I'll have to deal with it
Does your old Mac have the same OS as the new one (10.8.3, I think is the latest)?
Yes, it does.
But is there a way to have OTF and TTF fonts in one family and in one list in InDesign? I mean, they are the same font family with the only difference that one of the three fonts now appears as OTF, which it didn't a few weeks ago on the older MacBook.