Maybe not 'grovelling', but certainly non-confrontational !
As for the second PCN, the "continuous contravention" is used for parking when a vehicle is left parked for two or more days, so I don't think this argument would apply. However, you could argue 'disproportionate penalty", if you only became aware of making the contravention when the first PCN arrived in the post, and the second is dated between that date and the date of receipt of the first PCN.