Hi,
Just a quick note about the sense resistor size and it's effect on the precision of the circuit.
I suppose you want to sense when the current is 100ma.
Starting with a 1 ohm sense resistor, 100ma produces 0.1v across it, so with a 5mv offset the precision is around 5 percent so you will sense current that is between about 95ma and 105ma. This could change if the offset drift is appreciable but looks reasonable so far.
Going down to a 0.1 ohm sense resistor, 100ma produces 10mv across it. With a 5mv input offset the tolerance now is around 50 percent. This means you could be sensing a current that is 50ma to 150ma roughly. You wont know without a measurement and it could change with offset drift. This may or may not be acceptable for your application.
Going down to a 0.010 ohm sense resistor, 100ma produces 1mv across it. With a 5mv input offset the tolerance is now up to about 500 percent, which means we will be detecting a current somewhere between 0ma and 500ma. This is clearly unacceptable.
Going back up to a 0.050 ohm sense resistor, 100ma produces 5mv across it. With the same 5mv input offset the tolerance is now about 100 percent. That means we are now sensing current anywhere between 0ma and 200ma. While 200ma may still be acceptable, 0ma will not be. A measurement would show the actual value, but any drift will quickly mess things up.
It should be clear now that if we go down to 0.033 ohms it probably wont work very well. In fact, the min resistor value is probably around 0.1 ohm unless you can get away with a wider range somehow.
By now you can probably see that sensing current is a little harder than sensing voltage. There are ways to do it that dont involve just a simple sense resistor and comparator, but also involve some sort of amplification. The amplifier amplifies the sense voltage and then a comparator works on a much higher voltage level. There are also chips made just for this purpose.
If you intend to use a different circuit, it would be good to post that circuit here so we can take a look.