I need some advice.

I've asked everyone I know and no one can help me not even any health professionals.

I have a 5 week old baby and the past 3 weeks have been a nightmare. Shes on a schedule of feeding every 3-4 hours she has a bath at around 6:30-7pm then a bottle after then shes fast asleep until around 3-4am wakes for another quick feed of only a couple of ounces then back asleep till 6:30-7am. The she sleeps again until around 9:30-10am wakes for another feed then back asleep at around 11-11:30 then as soon at the clock is past 12pm shes awake she could be in the deepest sleep ever but once its lunch time she's awake and doesnt settle/sleep longer than 10 mins until she goes to sleep after her bath and bottle. She just cries on and off all day. She doesn't want putting down and she doesnt want holding. I literally cant do anything all day and I have another daughter who's only 1.5 years old and it's hard to do stuff for her with a screaming baby. I offer her a dummy but shes only really takes them when shes sleeping or hungry.

Now I thought it was colic the first 2 weeks of her life so she is on colic drops and anti colic bottles because she used to scream from 4pm until 9pm then sleep like nothing happened. And I did alot of research around it and everything she was doing/showing pointed to colic and when I changed things she got better but now her crying and fussing has moved earlier from 12pm-7pm instead of 4pm-9pm.

Shes not constipated as shes pooping regularly and they are of the right consistency, shes not hungry because shes showing no signs of being hungry and I've offered her bottles as a last resort and she refuses them. I'm constantly winding her and she burps sometimes but still cries so it cant be that either. She also sleeps on her tummy as she screams I'd shes on her back I spent the first few weeks awake because she wouldn't sleep on her back only on her tummy and I couldn't sleep know shes on her tummy and couldn't turn her head so I used to stay up even though she was sleeping so I could make sure she was okay but now I know she can lift her head and turn it easy enough I now let her sleep on her tummy all the time.

I reached my breaking point last night I just broke down. I'm at home dealing with this all day on my own 7 days a week because my partner doesnt know when to have a day off hes self employed so works everyday from 7am until 9pm and I've tried to explain how she is to him and he just says nothing. I broke down on him last night and all he said was stop crying and chill out. He never offered to help me, to take a couple days off and help me or give me a break. I've got no one to help me either as they all say shes hard work so no one wants to help me. The only person who is willing to help me and give me a break is my mum but she works nights so only on her days off she can help but I dont want to rely on her all the time so I just put on a brave face and act like everything's okay. Shes being trying to help me giving me advice and everything shes suggested I've already tried and even she doesnt know what to do and shes got 5 of us kids and she never had anything like this with us.

My first daughter was never like this she was such a calm happy baby.

I'm so sorry for the really long post but I'm literally at my breaking point I dont know how much more of this i can take. I really starting to feel disconnected from her and I know that's a horrible thing to say I love her more than anything but I just feel like I dont want to hold her I dont have the energy anymore. Although I feel like this I'm trying to stay positive and used a calm voice and not get annoyed because I know she can pick up on it and I dont want her to feel worse but I literally just want to scream sometimes.

I just dont know who else to turn to. Or what to do. Do I just wait it out see if she grows out of it? If she does or what. I just dont know what to do and I have no support from my fiance he literally couldn't care less which pisses me off even more.

I feel so much worse too because I dont have the time or attention for my other daughter and shes started hitting/kicking and pulling my hair when I've been holding the baby too long but if I put her down she screams. I just dont know what to do I'm stuck. Any advice or sinilar experiences would be greatly appreciated.