My preemie was born 6 weeks early and it 6 weeks old (or corrected age, 2 days)
I am completely drained and exhausted. He will start getting fussy in the evenings and typically will scream and cry from 12am-8am. The only thing that will soothe him is his pacifier, however, after he falls back to sleep it falls out of his mouth and he resumes screaming, which means, I stay up ALL night and morning putting it back in his mouth over and over and over and over again.
I've tried letting him cry it out, doesn't work. I've tried holding and rocking him and it works, but the very second I lay him down...screaming. We give him gas drops and get good burps out of him after he's eaten so I wouldn't think it's gas?...but who knows. I change him when he's dirty or wet. Today I decided I'd try to go the day without giving him his paci, rather see if he could be soothed by his glow worm. This seemed to work, however the second it stopped playing music (It plays for about 8 minutes) he's back to screaming and crying. He doesn't show any signs of being sick and his temperature has been normal also.
He IS a very gassy baby (passing gas and burping constantly) but I'm not sure what else we could do to help with that. When leaving the NICU he was on a 3 hour schedule so I've tried to keep that, however with all of this crying I've been feeding him sooner and more ml per bottle. He seems to suck it right down....almost to the point that I'm afraid I'm overfeeding him. (only done this a couple of times)
WHAT ELSE CAN I DO?!
UPDATE- I realize this isn't really a "breaking news, update" situation lol, but I just wanted to add that after reading all of your awesome suggestions, I went out and purchased a noise/projector machine and some silicone pacifiers that are designed to not fall out of baby's mouth as easily. So far he's cried a couple of times but only for a few minutes and is seeming to rest pretty well. I did forget to mention (& some of you reminded me) that he DOES have reflux. He's not spitting as much and it's not gushing out of his nose as bad as when he was born but he spends a lot of time grunting, arching and stiffening his body. I assume all of that is still related to reflux? I'm a FTM and I'm LOST. I'll definitely mention the possibility of switching formulas also! Thank you guys!!
Re: Desperate for sleep advice!-UPDATE
I've tried to put him in his swing and he seems to detest it. he screams the whole time he's in it
) so it was switched to the regular similac and he's using the bathroom now, however it's very runny (sorry for the grossness). I was afraid it was diarrhea and didn't want him to get dehydrated if so so I called his pediatrician yesterday and never got a call back 
Also, he takes the regular similac advance. he was on similac neosure to help him gain weight but it also made him constipated (which was an whole other issue
I'd definitely try it! That never occurred to me but I'm desperate so...I'm on it!We tried Gripe water, it was too thick for him to swallow and he would, again, scream and spit it all out.
His swing doubles as a bouncy seat with vibrations so after he seemed to hate the swing, I tried the boucer..nope! He wasn't having it.
I did call his doctor yesterday morning but never received a call back

I don't mean to discredit all f your suggestions, I appreciate them greatly! Could this be a colic situation? I've heard that nothing soothes a colic baby
Also white noise maker is a must buy! It really helps all.of us sleep better.
Lastly it could be colic which sucks but will disappear over time. But I'd try changing formula or having him sleep at an angle (like with rock and play), white noise maker, etc. Good luck and hang in there!! This will pass and you're not alone.
Hugs lady!!
Nov. '14 January Siggy : Work Sucks!
Me 32-DH 38
Married July 14, 2007 ----- TTC # 1 October 1, 2013
BFP March 7, 2014 ----- EDD November 17, 2014 ---- Baby boy born November 16, 2014
Edit to add: Can DH or local friends and family provide some relief shifts for you? Or maybe hire a night nurse/doula so you can get some sleep until he starts sleeping better?
Hang in there mama -I know it's exhausting but it will pass. With my first, I had such horrible anxiety from sleep deprivation and that feeling like you might never sleep again makes it worse. I'm not sleeping with this one - one week in - but this time I know that it eventually ends.
You got great suggestions (I wouldn't leave the house without the little noise machine, I'd take it out of the lamb it was in and bring it with me), swaddling - the 4 Ss. DS1 had pretty bad reflux, after trying everything my pedi put him on anti-reflux drops for a few weeks. It helped and he outgrew it. I wasn't keen on putting an infant on prescription medication but my pedi explained that if he was in pain and it would help, it was the direction to go. We were glad to have done it because we did notice a huge difference (everything else didn't seem to do anything).
I didn't have this book with my first (now I wish I did), but I have some friends who highly recommended it so I just bought it. After having read no less than 6 or 7 other books with DS1 AFTER we started to have sleep issues, I find this incorporates some of the logical things from the other books but is much easier to read and has some great (and important) tips to start things off so you don't end up with a difficult sleeper later on. The Sleep Lady Good Night Sleep Tight. I'm hoping it will produce one of these magical unicorn sleeping children my friends seem to have down the road. It addresses pretty much everything - reflux, nursing, avoiding sleeping association crutches (our issue last time).
Mo 11/4/14
Wait, What?!? - EDD 11/1/19