Should think a remap should suffice, as the Puma will be EEC, if not the exact same model.
You may need a MAF if it requires one as some 1600's have them and some don't for example your one at the moment most likely has a Tmap where as I believe the earlier phase 1 had a MAF.

The coil pack will certainly be ok as I think there are only a few variations, starter should be ok as well, flywheel should fit but not sure if it will be a different weight?

Martin