WAG - sufficient moisture entered into the center/floor console to
short out the electronic modules beneath and next to the
shifter....which controls windows, mirrors ....though i dont know what
else might be located there.  this has avg price of $1k to replace.
for some reason, your transmission is in limp home-fail safe mode and
you'll need a pencil/pen to unstick it (technique should be in your
manual).

many of the symptoms you describe are similar to spilling a drink onto
the console.  if storm drenched inside, water may certainly have
entered behind the door panel so focus on the electrical/electronics
there as well.