someone please tell me I'm crazy & should trust the pill

Claire
So I have a problem of not trusting My birth control pill, It's never given me a reason not to but still I get nervous & I really don't want to get pregnant . 
My boyfriend pulls out & sometimes it will still get a little on me but that's why I'm on the pill too. 
The only 'mistakes' I've made while on the pill is one time I took my pill very late & then a few hours after taking the late pill I had the stomach flu & was sick throwing up. That was about a month ago & ive had my period since . 
As of today I am on pill three of my new pack & I sort of have a problem trusting it especially after my period break . I took day 1 of my pack on time but day 2 I was 2 hours late on taking because my phone alarms were all messed up. I took today's right on time . 
Let's say I have sex tomorrow, am I okay??
Somone please answer