Continue taking the sugar pills.
I have the opposite problem, my period doesn't come until like the last day of sugar pills and lasts into the first couple active pills. I hate my "new" period, it's not heavy enough for a tampon and I hate pads, if I use a pantyliner it's too heavy for that but if I use a normal thin pad there'll be nothing. I've also been spotting for like 3 weeks.
i'm just starting my 3rd pack today so i'm hoping by my next period my body will have gotten used to things and there'll be no more spotting.