To answer your question directly: a second i-pill is NOT necessary for the day 13 encounter. Here is the reasoning — the first i-pill you took on day 12 (within 10 hours) provides protection for up to 72 hours from the time it was taken. Your second exposure on day 13 occurred only 32 hours after the first pill — meaning the first dose was still active and its levonorgestrel was still in circulation at the time of the second encounter. A second dose within this window does not provide any additional protection; it is essentially an extra dose of the same hormone that is already in your system. Taking a second i-pill will increase side effects (heavier bleeding, nausea, hormonal disruption) without improving contraceptive efficacy. The spotting you experienced (very light, 2 days) is a very common and expected side effect of levonorgestrel — it causes a withdrawal bleed of the uterine lining, which is not a period but a side effect. The fact that you used pull-out method as well further reduces risk. One important caution: your timing (day 12–14 of a 28-day cycle) is peak ovulation time, and levonorgestrel EC is somewhat less effective when the LH surge for ovulation has already begun — it works mainly by delaying ovulation.

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I pills have a high failure rates and is also affects your hormonal profile......as a result spotting Wait for normal periods.....

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Taking too many pills is not good for health. Pill has many side effects and pregnancy can happen despite taking the pill.

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Emergency pills are known to cause many side effect IrRegular vaginal bleeding Delayed periods Breast pain lower abdominal pain Also you need to keep in mind they have a very high failure rate which means the patient can be pregnant despite one You need to be educated about the  fact that prevention is always before the act never after As of now your only best course of action would be to wait for your next period then do a pregnancy test in case  you skip your periods