Input Bias Compensation for a Comparator
The input resistance to the comparator is the output resistance of the integrator, and is less than an ohm. So the bias compensation would be the same - if you used one at all. However, consider that the voltage across such a resistor would be extremely small, and is swamped by the voltage offset of the comparator. So the compensation resistor can be dispensed with entirely. So

1) The resistor is unnecessary.

2) No. The op amp will put out whatever current is needed to produce the proper voltage at the input. It's one of the joys of negative feedback.

3) None needed.