I mean, for the most part. You would have 13 months of 28 days with 1 leftover. Make that one new year or something. Leap years would just have another straggler day, lump that in with new year I guess.
The moon thing is wrong though. The moon does not operate on a 28 day cycle.
As for Monday being the 1st and Sunday the 28th, that wouldn’t matter at all. Any day could be the start of the month.
I remember the burning lap with the F1 car being the race that I couldn’t beat as a kid. Now I’ll have to go back and try it again