As posted on 'the other site'.
So to be clear, you have 2 COFP arising from the same incident?
This simply shouldn't happen, for a start they are both the same offence contrary to S3 RTA 1988 (
https://www.legislation.gov.uk/ukpga/1988/52/section/3 ) so effectively they are trying to punish you twice for one 'crime', secondly if two offences are committed at the same time they shouldn't issue a COFP at all (to their guidance) and thirdly if they were different offences (they aren't) committed at the same time then in court you only get one set of points (for the worst offence) so would have to be foolish to accept a COFP.
I see three options
1/ Write back to the Police enclosing copies of both and politely asking what the F they are playing at, they may even drop both cases out of 'embarrassment' (for the want of a better single word).
2/ Accept one, that then absolves you of prosecution for the other and if they did take it to court you could have a little fun showing up their incompetence.
3/ Accept neither (noting you don't have to actively decline, you can ignore them as it says) and wait to be taken to court, you'll only get one lot of points (but may be more than 3) if you lose, and it will cost quite a bit more (again, only if you lose). Chance of a successful defence is hard to quantify.