Sorry Slowcheetah!
Ok, if you've been using condoms then I wouldn't worry too much.
But given that you missed so many pills, plus antibiotics then there probably wasnt' much protection, if any, during March. You need to take your pills correctly, otherwise its pretty much a waste.
Next time something like that happens (like when you a lot of pills within the month), just toss the pack and start a new one and remember that you're not fully protected until an entire week of taking pills correctly. You period will be a little off now, but it shouldn't take too long for your body to even out the hormones.
The bleeding is breakthrough bleeding and very common when you first start or there's lots of mistakes. Just keep taking your pills and test two weeks after sex if pregnacy is a concern.
Good job for using a back up method when you needed to!