1. If Biscuit is asking like a terrible, whiny, feral child--to the point where I wonder aloud to Mr. H what we could be doing wrong raising such a rude and unkind girl--the correct answer is: bed. Yes, she can skip a bath, no she can't clean her room or do homework (or have ice cream). Bed. Even if the teeth aren't brushed.
Oh, and she's probably coming down with something.
2. If Oscar doesn't go right to sleep at naptime and is fussy/whiny but not screaming the answer is: diaper. Yes, he pooped and yes, it should be changed even though doing so is likely to cause an entirely missed nap. The solution is frequent room sniffs during the "laying-down-but-not-yet-asleep" phase of napping.
But look, photographic evidence they aren't always ungrateful poopy pants.