Took Plan B - bled for 2 days. Now my regular period is late. Is this normal?

I dont know much medically, but with my own experience with taking Plan B I was about a little over a week late. Just give it time, im sure it will come. Take a test if you still havent gotten your period in a week.

Plan B can cause all of those things, but it doesn't mean you will or won't end up pregnant. Either situation could still be the case.
It very much depends on when you had sex. If you had sex during your fertile time of your menstrual cycle (usually between days 12-18, depending on if your periods are regular & how long your menstrual cycle lasts (this is based on a 28-31 day cycle)), then Plan B may have been the wrong choice of emergency contraception.
Day 1 of your menstrual cycle is the 1st day of your period. Your menstrual cycle runs up until the day before your next period.
Plan B works by delaying your ovulation until the sperm has left your body. Some think it works in other ways, but the Manufacturer does not claim that. They say it's possible. It hasn't been proven in tests.
If you are close to ovulation or actually ovulating during intercourse, then you'd need one of the other methods of emergency contraception.
You can experience any hormonal symptoms that you may get with a pregnancy or period, after taking Plan B. It's a huge dose of artificial hormone for your body to deal with. Everyone is different as to how & how long it affects them. It's just a case of waiting to do a pregnancy test when your period doesn't start on time. An early response test may tell you from the first day of your missed period. If the test is negative, then it's probably down to the Plan B, & just a case of waiting, but do a test a couple of weeks later, if you don't get your period, as it's possible to not show on a test until you are further into the pregnancy.
There are ways to stop condoms slipping & breaking. Do some research on it, as there are things to help, such as holding the base of the condom on the penis as he withdraws from you, & leaving a closed/nipped couple of cm in the tip of the condom, as you role it on the penis.
Emergency contraception is not as reliable as regular hormonal birth control. It's simply worth a try, in an emergency.