1 and 3: Ideally, due to the different impedances of different oscillators at the same frequency, the signal will enter the most suitable oscillator, resulting in each frequency exhibiting the designed impedance. However, in reality, they will influence each other. If you intend to use them, it is best to measure and trim them (although retailers may have already done this).
2: I hadn't really thought about it carefully. However, if it continues, it shouldn't have a significant impact.