I was wondering if i skipped my birth control pills for two days can i start a new pack of pills and it continue to work? i was also wondering if it's normal for females to get nauseous and feel like vomiting after intercourse.

Yes and yes: If you do skip pills then start a new pack - you should use an alternate form of contraception for two weeks, then you would be protected again. It is not abnormal to have those symptoms after having sex.

No: No it is not normal for women to have nausea and vomiting after intercourse unless something else is going on. If you miss your pill for 2 days, u should take 2 pills each of the next 2 days and use a backup method of contraception until you are into the next package since you won't be reliably protected this cycle.Expect some breakthru bleeding any time you take pills late. Hope this helps.