First, I wouldn't worry about the exposed pill. The foil is there to keep the pills clean, but it doesn't increase or decrease their effectiveness.
Second, it's not white blood you have between your cycles. It's vaginal secretions, from the walls of your vagina. It's a little like sp
it in your mouth or sn
ot from your nose or spu
tum from your lungs. It's a lubricant and a cleanser, keeping your vagina wet, clean, and happy

And it is very, very normal. The pills may increase it or they may decrease it, or it may stay the same. Every woman is different.
Finally, it is safe to have unprotected sex during the off week.
((Okay admin, more funny words being turned into stuff!
sp
it - spit
sn
ot - snot
this one's funny:
spu
tum in one odd place: sp
ut - sput