[ffooky]

You're going to have to find some way of making these compatible:

CD quality: no
cut on sector boundary: n/a
sector misalignment: n/a
long enough to be burned: n/a

and

inconsistent header: yes

With any luck conversion to FLAC *might* sort things but if it doesn't you could try opening the files with Audacity, Sound Studio, Amadeus, Peak etc and saving as WAV/AIFF.