I understand your situation - I have been in a similar situation with a similar husband.
I don't think your husband will change. He obviously does not understand or care beyond his own comfort and if you try to convince him that you are not coping, he will not be sympathetic.
I can recommend a few things that you can do. At work, you can make a list of everything you need to do every day, and then decide what you absolutely have to do so that you can stay out of trouble. Then focus on doing those tasks. If people complain, ask them to set your priorities for you, and then focus on what they want.
You are only one person, and there is only so much you can do.
At home, you could follow the same strategy. Your child needs your attention more than your husband, because your child is small only once. You don't have to be the perfect housewife.
You need to provide clean clothes (one set for each day, no more) and put a meal on the table (not a fancy meal, just a wholesome meal). You need to clean your house as far as you can cope. If your house is not perfect, make sure your child is happy.
If your husband complains, you can remind him gently that you only have two hands and so many hours in a day, and that you are doing the best you can. When you say that to him, remain calm and don't allow him to upset you. You know that you are doing your best, and that things will improve as your child grows older.
If you have a friend who can look after your child for a few hours every second weekend, don't hesitate to ask. Then use that time either to do urgent things, or to do nothing and just take a break by yourself.
It would also help to do some daily meditation and, if you can, to take some vitamins to keep your strength.
To read more about dealing with relationship issues: