Hi there, sorry you're having a case of the "blahs." It sounds from your post like you are working or going to school outside the home on top of having a very young baby?? If so, no wonder you don't want to do dishes in the evening! You must be exhausted and of course you want to spend time with your little one. Playing with a baby is way more rewarding than doing housework! And if I misread and you are a stay-at-home mom, well, then your job is not any easier and no wonder you're spent at the end of the day.
It sounds like you may be burnt out. The first thing I would recommend is trying to get some help around the house and also to remember that the dishes will still be there tomorrow if you don't do them today. IMHO, no one with a small child should be expected to keep a clean house. Seriously! Just keeping the baby happy and fed, keeping yourself fed, and sleeping when possible is beyond a fulltime job. Can you afford a housecleaner? They can come every 2 weeks to do the big jobs and then you just have to pick up along the way on occasion. Can you eat out some of the time? Then you don't have to cook so there are fewer dishes, plus it's nice to be waited on for a change! (Look for louder restaurants or family-friendly places so you don't feel so bad if your baby cries. Ethnic places are often very friendly to kids.)
I don't want to downplay the depression aspect. It could be that you need meds, but it just wouldn't be the first place I'd recommend starting. Getting out of the house for a walk, asking family to cook you some meals to freeze, getting some time just for you to take a bath or get a coffee or something -- these are good places to start when you are experiencing burnout. If it continues or gets worse, then look into seeing a counselor/therapist. My therapist is AP-friendly and is fine with moms bringing their kids with them, or maybe your DH could watch the baby while you go if you find someone close by. Also try to get involved with other moms through LLL or your church or something so you can vent/share/commiserate. I always feel soooo much better after I get a chance to be around other like-minded moms.
There is a lot expected of moms today, and when you are also a very conscientious and loving mother who wants to do a great job raising her child, it can be awfully overwhelming. You are definitely not alone! Let us know how things are going.