Can i claim compensation from my landlord?

my boiler hasnt worked for 2 weeks. i have 5 children, one is a baby, and we have had no heating and hot water for 2 weeks. the letting agents sent a man round who turned up at 10pm, and he couldnt fix it. he came back twice more and told me i needed a new boiler. the agent fobbed me off for a week saying she couldnt contact the landlord to get his permission to get a new boiler. i now have enviromental health on the case who have told them to fix it by monday or face court action. i am extremely angry about the situation. its been proved that the agents have told me and enviromental health a string of lies and i dont feel that i should pay rent for the two weeks i have been without heat and hot water, but can i legally do this? i feel my kids should be compensated for their suffering.