Am I pregnant?

So I had sex last month and this month, my period has been late by 5 days. For the past few days I’ve been vomiting but I’ve been blaming it on my sudden dislike of coffee. Today, I woke up and saw what might be pink discharge. Then, after my workout, a few hours later, I looked at my liner and there was brown blood.

I haven’t taken the test just in case my period does come. But is this my period finally coming? How did you figure out you were pregnant before doing the test?