Since you were having your menstruation,it's highly unlikely to have implantation during that period.the spotting is side-effect of pill intake.

When you say that you took I pill  on  5 June  (which was 5th day of your periods), then what implantation are you talking about  ? Implantation occurs when  the  ovum is fertilized by a sperm and it gets attached to the wall of the uterus  (like a seed in the soil). And if you are having your periods,  your ovulation etc  has occurred  15 days earlier. There is no chance of implantation at this stage.

It's a side effect called withdrawal bleed

It's a side effect of  pill,withdrawal  bleeding. Pill has many side effects and  high failure rate too