I'm sorry you are going through this. I know for me, sleep made such a difference! My son is 6 1/2 months old. He started sleeping through the night around 3 months and was a breast fed baby. My sister has a 13 month old who still does not sleep through the night, so we've compared notes.
I can tell you what I did and hope it helps. I'm not sure if it was how I handled him at night that got him on such a good routine or if I just got lucky with a baby who figured out the daily routine well on his own.
At 2 months we switched him to his crib in his nursery from the bassinet in our room. This is when I started a nightly routine that I stick to everyday. I have a nightlight that I turned on and kept on through the night. I followed his lead as to when he seemed to be getting tired at night and started to begin his nightly routine everynight at that time. He get's tired early, so we start around 7pm. He gets a bath, then a lotion massage and pjs, then lights out (with just the night light) and we rock in the glider with a bottle while I sing to him. We are on a bottle now bc he was diagnosed with a milk and soy allergy, but when I started all of this he was still nursing, so he would get my breast verses the bottle. I put him down awake unless he passes out during his feeding. He does need his binky to fall asleep. The first few weeks we did have to rub his back for a while to calm him down, and may have had to go back in several times to do this as he would get really upset (crying). Listen to your pediatrician, but ours told me that he was eating enough throughout the day and he could go up to 8 hours even at two months without eating. So, through out the night if he woke up, I just went in rubbed his back, put the pacifier back in his mouth and tried to calm him back to sleep. This was hard at first and didn't always work. If he started to really scream, I would take him out and nurse him, but only for a few minutes, as I was told it is simply a comfort need and not a caloric need. This way, they don't become dependant on 6 ounces of milk/formula in the middle of the night.
I think a big key to our success was repetition and routine. As well, I found it very important, no matter how hard it was, to never talk to him and never turn on the lights when he would wake in the middle of the night. And remember the food is just a comfort and habitual thing at this point.
Good Luck! I hope you found something from this helpful!