FAA CPL route will only work if you gain much experience with that license, maybe 1000 - 2000 hours, and again EASA will maybe change much of it.
CAA are more flexible on class 2 than class 1.
If anything you must get it in writing first from the CAA, otherwise assume nothing.
FAA CPL will not give you class 1 medical, if you only have few hundred hours, that I am 100% sure of.
But there are alternatives, so study a way to make those work, and you might be fine in the long run, but the roads will not be easy, good luck.