Hi Davoush, I'm no climate expert, but I'm currently working out a world climate of my own right now so I'll be interested in seeing what other people have to say, hopefully someone else chimes in on this because it would probably help me out as well.
I think you're probably right about the mountain range on the east coast, but I think the area right above that where the two land forms connect would be wet as well because of warm moist air coming up that coast from the equator. I'm not sure, like I said I'm no climate expert so take what I say with a grain of salt...
I like the way you've set up you're land masses I'll be watching to see how this progresses.