Assuming you're taking your active pills correctly and haven't missed those, then missing an inactive pill at the end of the pack won't make any difference. Those pills at the end are just sugar pills and don't contain any hormones in them. The dosage of the active pills that you've taken the other weeks of the pack provide continued protection even while you're on your period.
However it sounds like you started a new pack of active pills during your inactive pill week, is that correct? Because if that's the case, then you've thrown off your menstrual cycle and shouldn't be surprised if you have spotting or breakthrough bleeding while you're taking active pills in this pack. It might take a couple of months for your body to regulate to the new schedule since you started active pills early.
And one last thing is that it's written all over the package insert that if you're ever in doubt of whether or not you're protected by the pills then you should always use condoms for at least two weeks after starting a new pack of pills. This issue comes up here all the time and none of the girls ever use condoms and then they worry about pregnancy after the fact. You should always use condoms as a backup when you have any concern about your pill not working.