There are no water temperature regulations for domestic premises but there are for care homes, hospitals and places of work etc.
This link may help
http://www.aquameridian.com/Hot%20Water%20Burns!.html
Your temperatures are not as severe as they might be. Safe at the kitchen sink and 5 deg C over at the bath which is not really into the danger level.
You may be a bit overly sensitive to hot water - my wife the other way - if we share bathwater I have to wait 20 mins before daring to get in! Our kitchen sink 55 deg C.
The link talks of devices called TMVs which blend hot and cold to get a lower temperature - no good for rads though.
From what you say about your temps I think your child is relatively safe apart from bathing unattended.
Stay cool...
Peccavi
October 2008