# out of joy

"because she was so joyful" or "being overly excited"

# failed to open the door

"did not open the door" or "forgot to open the door"

# came running into the room

You may prefer to say "went running into the room in the house"

# she reported

"she told them" or "she said"

# standing at the door

"standing outside the door." Peter was still standing outside.