Water water everywhere

Good news on two fronts - curious news on a third.

#1) - the pipes thawed out
#2) - the drain pipe in the kitchen is frozen solid somewhere - was washing the dishes and it started backing up
#3) - no evidence of busted pipes/leaking

Odd that the drain would freeze - it works great in the bathroom and laundry.  Was using both this afternoon.  Did some dishes and the water started backing up in the sink all of a sudden.  My guess is that there is a dip in the drainpipe about 15-20 feet from the sink.  There was a standing puddle of water that collected and I have to wait for it to melt. Guessing the distance as it was a couple gallons of water to fill it up.

That shower was heavenly.  We enjoy such a thin veneer of civilization. Simple pleasures.