I have a new iPhone 6s Plus (iOS 9.1) with "No service" in 3G mode.
At the same time, in the 2G EDGE voice and internet works ok, and in LTE Internet works fine.
But if the phone is connected to the LTE and calling, the phone automatically switches to 3G and silence, and then the call fails.
If I manually set Cellular Data to 3G, the result is the same - "no service".
I tried all known methods and tricks, with no success...

At the same time, in the 2G EDGE voice and internet works ok, and in LTE Internet works fine.
But if the phone is connected to the LTE and calling, the phone automatically switches to 3G and silence, and then the call fails.
If I manually set Cellular Data to 3G, the result is the same - "no service".
I tried all known methods and tricks, with no success...