I honestly just wanted to get this out because I feel alone and it sucks

I just don't know where to start.. I had my 2nd child almost 2 weeks ago and have a 4 year old I love them to death and i love my SO to death but I can literally just be sitting here not doing anything not thinking about anything and just start pouring tears and get sad. I honestly feel like a single parent, I only say that because he works a lot and he works from 1-2pm to 2-4am just depends on how the shift goes sometimes he even works 23hour shifts [he's a cop so it depends on how things go while on shift] and he onky gets sundays off so he sleeps almost the whole day whoch is fine because I get it he needs his sleep for work but its so hard to even get things done around the house. I mainly get to clean around and shower around midnight because I know both kids are asleep my 4 year old goes down around 7:30-8 and my LO really depends with him but hes normally out before midnight its so stressful and tiring I'm up and down through out the night and my SO isn't any help at all he's a heavy sleeper so he doesn't even notice if LO cries I literally feel like I'm doing everything alone because I basically am.. it just really sucks and what makes things worse is I'm very self conscious and I really dont like how my body is looking right now but I can't start exercising for 2 more weeks..