Minnie Royal Cherry

I live in mendocino county where the temperature is consistently between 50 and 60 degrees, will this cherry tree grow here?

Do you mean the winter temps are between 50 and 60 degrees? If so this is a low-chill variety of cherry, so it needs to be below 45 degrees for 400-500 hours each winter. So if it gets cold enough at night, you should be good to go. These trees are from Modesto, so depending on where you are it should produce just fine.

I live in San Diego along the coast about 5 miles from the border. I’m not sure if we have enough cold weather here for cherry trees but for berries we often ice them at their base. 1.) Would a handful of nights with a forty pound ice down around its base create an environment similar to the chilly nights a low chill cherry tree would need to bloom? My second question is a cherry trees must be cross pollinated with a different variety of cherry tree? So other flowering/fruiting trees like an apricot or a lemon tree will not produce flowers or flowers that will set for fruit?

Minnie Royal and Royal Lee require 200-300 chilling hours, which you should be able to achieve without any buckets of ice. As for pollination, the short answer is yes, cherries are required to pollinate other cherries. These two cherries, along with Almanden Duke, bloom together and will cross pollinate each other. Other cherries may bloom too late.

Will these pollinate well with Craig's Crimson or Black Gold varieties?

No, they bloom too early. You will need another early blooming sweet cherry, like Royal Lee, to ensure good cross pollination.

Can I just 2 of these to pollinate or does it need different variety? I'm interested in the dwarf tree. Also how would it do in hot Texas summer? I'm in zone 8 Dallas Texas. Would it be better to get partial shade or just full on sun?

No, you will need a Royal Lee or Royal Crimson for pollination. It should do well (these were bred in Southern California), but will need permanent irrigation.