I'm currently using now FC3 and I thought those problems might be related with broken qt package. So, I downloaded qt stuff from kde- redhat.sf.net *but* still doesn't work properly. See message "problems with acents in portuguese (latin1) in lyx 1.3.5 with fedora core 3" in this list. I've not used LyX for a while and I think the problem stems for recent updates.
It's an unresolved issue: http://bugzilla.lyx.org/show_bug.cgi?id=1830
-- Rex