sorry your having a hard time OP....I have a 6 month old and DS1 was 2.4yrs when baby arrived. it took time to find my footing but now I feel really able to manage both children relatively well (most of the time).
remember when you had your first?...how you stretched as a human being - doing more than you ever thought possible, on less sleep with newfound patience etc? It turns out that when you have another you stretch even more!! who knew we were so pliable?! we are though - just be kind to yourself. it will come. you are all just getting readjusted, getting to know each other still.
Early days my DS1 was treated to a lot of buckets on our kitchen floor...whenever I needed to entertain him and have a cuppa I'd throw down a special bin on a shower curtain on the floor - filled with all sorts:
Bucket of dinosaurs, bucket of water, bucket of sand, bucket of shaving foam, bucket of dry pasta, bucket of cooked pasta, bucket of corn starch and water, bucket of rice, bucket of plastic bugs hidden in sand and a pair of tweezers, bucket of art supplies, bucket of cars, bucket of buckets....you get the idea.
2 year olds love to help....get yours to help with everything remotely possible. my 2 year old is especially good at scrubbing the bottom kitchen cabinets when handed a little bucket, scrub brush and sponge. he is an expert at chucking then laundry in the washer and helping me push all manner of buttons. he loves to help me sweep, vacuum etc...just take the pressure off getting things done and focus more on keeping it light and fun.
put the TV on as needed. try to save it when possible for when baby is napping/going down for a nap.
DS2 slept in a Moses basket at night but in his crib during the day. I simply could not devote hours to rocking him to sleep like I did DS1....I got him a Cloud B Aqua turtle which is miraculous.....and a white noise machine which is equally so. getting him used to his crib early was very useful as about a month in noise from DS1 playing would disturb him when I'd just let him drop off in his bouncy chair in the living room. ow ever having more noise around has I believe resulted in DS2 being an all around much better sleeper.
get outside at least once a day...a walk, the park, a class, a field - wherever. do so with the kids....but your DH needs to step up too and help you get out on your own if even for short periods frequently.
hoping things turn around for you soon OP x