Hello Mena1,
so sorry your having such a hard time with your LO. My daughter is now 4 months old and is still not sleeping through the night entirely, she wakes up once or twice for a feed. I think breast fed babies aren't satisfied through the night as much as formula fed babies, so I have started to introduce formula aswell as breastmilk in the day to fill her up a little more. My LO will start to wake, I will quickly put her to the breast so she is still asleep, and then when she drops off, put her back in her moses basket.
You can speak to doctors, the bambi's your health visitors etc... but I found the only thing that really helped me was getting her into a routine.
She was having too much sleep in the day, and was waking through the night. I limited this to waking her at 8am, letting her have her 1st nap 11-12pm. Then her second at 4-5pm, with a bath at 7pm followed by a big formula bottle then bed by no later than half 8. Although if you leave the house to go out for the day, the routine gets all messed up, I generally try and stick to it, and it works like a charm! Last night she only woke once! Just try a routine that works for you and see what happens.
I went through weeks of her crying herself to sleep on me, I am on my own so I had no one to help me, but this routine is the business :)
Good luck! and give yourself some credit, you're doing great xxxx