I'm sorry you are having such a hard time. I was right where you are when my 1st was born. I know it is hard but this too shall pass. Babies grow and become independent little ones before you can blink an eye.
As far as advice is concerned, do you have a friend/family/partner who could take your babe long enough for you to get a shower? Even if you put him in a bouncy seat or even his car seat in the bathroom with you it could help. I found that getting a shower was what would really make or break my day.
Don't worry about your house. You have a 1 week old. It is OK to cut yourself some slack. You also need to take time to let your body heal from pregnancy and childbirth.
I found that when I was going stir crazy I needed to go out for a short walk or to my Mom's house. It was still "safe". Your son is only a week old and does not need to be visiting everyone. If they really want to see him, they can come to you and maybe do a chore or two at your house while they are there. Most people are happy to help, they just don't know what to do. Just ask them!
Try to eat well and drink enough water. You are also hormonally adjusting to not being pregnant and lactating. This is the hardest for me but it does get easier.
Focus on getting through the next 6 weeks one day at a time. If you need help ask and hang in there. If you feel you are getting especially sad/anxious all the time or have any thoughts of harming your baby that you would act on, call your care provider. Baby blues and PPD are more common than most people realize and can vary in severity.
Hang in there. Nursing will get easier and it is one of the best gifts you can give to your babe.
Remember- this too shall pass and in not too long from now it will be memory as you watch your son toddle around...
I will be thinking of you and congratulations!