Natural soy and beeswax candles with lead free wicks are technically 'bird safe' but you still have to be extremely careful and make sure the fid(s) are in their cages so there is no risk of them flying into the candle itself!

I know many people will argue that no candles are safe around birds but as long as they are safely locked away in their cage it should be okay.
Parsley is a tough one.

Some bird sites say it's
safe in small amouts, some say it's not.

They say that parsley, garlic, onions etc. all affect their red blood cells... so Casey doesn't get them.

But I think they would have to eat a lot to affect them negatively though...
Others should have some more insight!

Hope that helps!