Hi,
1) Yes, there will be a difference.
3.8MHz is about 6% OFF, which most probably violates standard frequency accuracy.
But if Tx and Rx frequency are the same magnitude OFF then you just run the MODEM on your own frequency.
As so often: it depends on your requirements.
2) Theoretically yes. Usually the MASTER´s oscillator OUT is connected to the SLAVE´s oscillator IN.
In detail it depends on the specified input and ouput levels.
And the TP5088 has internal OSCILLATOR_ENABLE which may cause problems.
Klaus