No, it doesn't matter if the gain is different with both stages. Normally I would split the gain equally between the number of stages unless I was trying to initially boost the signal with a low noise amplifier before a noisier one. In your case you can only get a gain of 20dB from the microphone so unless that will overload the next stage I would use 20dB there.
It is fine to have different stages working at different DC levels and AC coupling between them This is quite common where you might have an opamp with an input range which is not rail to rail, for example.
What isn't so good is to have the DC shift due to bias current in the feedback resistor. The 260nA of the LMV721 is only a typical value. So, if you stay with the LMV721 I would reduce the resistors to reduce that offset. However, if you go for the LMV654 the maximum is 120nA, 80nA typical so it is a less likely to be an issue.
By the way, I missed your comment about the AD8603/AD8607/AD8609 earlier. I wouldn't recommend those - the bandwidth is too low.
It is always tricky doing low noise, low power design. For low noise you want small resistors but for low power consumption you want large ones.
Keith.