Baby pigeon in my balcony please help?

I was moving my stuff from the balcony because we are moving, and I saw a pigeon's nest.. there was an egg, and a baby pigeon about a few days old (it can walk, and eat). I just noticed it, and I HAD to remove it's shelter. After awhile it started to rain, and the whole nest ( including the egg) got wet. I put a a oven drawer thing over the nest leaving enough room for the parent pigeons to get in and out from. I'm worried that the baby pigeon will die, and is the egg ruined now since it got wet from the rain? Is there anything I can do for the pigeons since I'm moving away?