A List Of Things Thrown Five Minutes Ago

HOUSE RULES: So we cracked open a deck of Uno cards to play with Lucy this morning, and I encountered two items in the official rules which did not square with my recollections of how I played the game. As per usual, I'm wondering if I'm the lone nut who believed ...

• The rules state that when a Draw Two or Wild+4 is played, the recipient is not permitted to lay down a card after drawing. I thought the person could.
  
• The rules state that if a player cannot play a card during a turn, s/he can draw only one card, play it if possible, and then play passes to the next person. I thought it was "keep drawing cards until you can play one."