Those records are perfectly legal.
The problem may be that he's been a bit too happy with exploiting characters-in-other-levels glitches, and that one of the completable levels (like E-102 in Casinopolis) ended up saving to the records data in an odd way--effectively freezing the record for, say, E-102 Emerald Coast with a "do not overwrite this" flag.
I had done that before on an earlier save file, and my E-102 Red Mountain time was stuck at 1:24.something. Your record counts since it's recent enough that you remember exactly what it was, but the things you've done on that save file are probably not a good idea for keeping track of records as future reference. Just start a new file if you want to be able to keep track of any future E-102 Emerald Coast times, and you don't even need to delete the old one, but don't mess around too much with the new file.