Everyone knows that the first 3 months of pregnancy are the most vital ones for the baby as his vital organs are being formed. All this hard work your body does translates in fatigue-- it is like a machine running at full speed. It cannot run faster than that and if it does, it will break down. You need to have a talk to your husband and let him know that you know you have left your household chores behind a little but you're feeling very yucky at the moment. I am sure he will not think you're lazy, he will be understanding. You are feeling nauseous all day and you're also working full time, I am sure he does not expect more than that! I think that the stress as well as the sickness have drained your patience out and you perhaps think that other people will expect from you what you actually think would be the right thing to do, if that makes any sense (cook, clean the house). Try and eat slowly; there is no need to eat all at once. If you think it will be making you feel less nauseous, eat every 15-20 minutes. Yes, I know this sucks but at least do it while you're at home. Sip water if you find that you need to throw up. Throwing up will make you kinda dehydrated so sipping water might actually help your system keep it down. Make sure that your boss and colleagues know that you may have to visit the toilet more often due to the sickness; feeling comfortable at work takes a lot of the pressure away, when expectations are high. Do not start your day without at least a small breakfast, if need be wake up an hour earlier than usual, if you think that would be enough time for you to sit down and chew food slowly and patiently. Going without breakfast might do you more bad than good because your sugar levels might drop and you could faint. Fainting can of course injure you and the baby.
Get all the sleep you can while at home. You should be pampered, now is the perfect excuse! Your body is a factory, working so hard to make this baby. Do not worry about the house so much, so what if you cannot clean for a straight week? The important thing is to have someone do the basic chores, wash the dishes, mop/sweep/hoover the floor, do the laundry. You can have your husband get you some take away, just to make it easier for you. It does not have to be deep-fried either, I know that would make you even more sick!
Be patient, it might be less than 6 weeks and the sickness is bound to go away. Even if it does not go away entirely (all women are different), it will definitely ease up at least a little bit. Sometimes it is worth looking at the bigger picture (sometimes!). I know it is no fun being sick 24/7. I have never been pregnant but I had the flu once, I could not keep anything down, it was terrible. So to multiply this feeling by 6 weeks, well, all props to you mama! Do not worry, it will pass, you will feel better.
Good luck to you and happy pregnancy!