Hey Nemesi, Its really difficult to say if your burns are infected, did they blister and then burst? I know from experience with burns, mine got infected easily if i burst the blister.
Also burns can get infected VERY easily in general (I know from experience unfortunately). here is a link to the burn guide here: http://www.recoveryourlife.com/index.php?categoryid=91
But really if you think it may be infected, you really have to go to the doctor, so you can get some antibiotic cream/tablets and have it checked over properly. If its white and there is thickening of the skin, it may be a 3rd degree burn, does the actual white area hurt? If not it is likely that it is 3rd degree. They REALLY need checked out my a doctor!
Hope you get it sorted and are feeling better ;)
p.s Sorry if my post is 'lecturing', I know its difficult to go to the doctor, but if you need to, you really should go