I wonder if anyone can tell me whether the 4 prong parallel drive centre will fit my record sc3 chuck
Whilst the Drive is designed for the AT&M chucks I see no reason why it could not be used with your RP SC3 chuck with a set of jaws fitted. My only concern would be that, because it is parallel, the drive may slide back into the chuck under tailstock pressure. I suggest that you measure the bore of your chuck to make sure that it is less than the 27mm quoted as the drive diameter - then all should be good.
If you decide against using the drive then I can recommend the standard 4 prong drive centre or the Pro-Drive (more expensive, but very good).