I'm going to do some analysis for the precipitation map to verify that it's not so bad. Combined with the temperature
By continent:


North east:

The south shore:
January: very wet
cool to cold
July: moderate
very hot to hot (it is at 30 degrees latitude after all)
the climate is classified Csa (more or less) (nice, the climate falls into an area that I considered impossible in terms of precipitations)
But the localization make sense

West shore:
Jan: moderate (due to the orographic lift effect)
cold to very cold (mountains are colder)
Jul: wet (polar front)
warm to mild
Dwb/Dwc (even if these climates are usual found in the west ?)

East shore
Jan: moderate/wet
very cold to severely cold
Jul: low
mild to cool
Dsc (again it should be the opposite, maybe it's because of the mountains ?)

Bay
Jan: dry/low depending on the area
cold
Jul: dry
warm
cold desert Bwk (hum, I guess)

Interior
Jan: dry
under -25
Jul: dry (very wet in the west)
mild to cool at lower altitudes, always under 0 at higher altitudes
Dfc/Dfd at lower altitude, Ice cap elsewhere