Now, I really don't know much about OPK, but its my understanding that you can get a postive for several days for a couple of different reasons.
A common reason is that after you have your first LH surge, your body for some reason doesn't get your egg to release (this can be caused by stress, illness,... the normal suspects for causing a late period). If that happens, your body will probably try again with another LH surge that may overlap with the first.
It's OK to happen once in awhile, but if this is something that happens a lot you may want to ask your doctor about it. But since you said you had your period as normal, I'm guessing you're usually pretty regular
Good luck!