I really feel for you OP as I've been there too. My DD (now nearly 4) had terrible reflux and never slept. We thought the gaviscon did no good on its own so we saw a paed and went onto renitadine and domperidone, stopping the gaviscon per docs advice. Within a few days we had a horrendous day where she cried the whole day, feeding wouldn't even soothe her. We reintroduced the gaviscon and she improved a lot.
Do you have a sling? We often found this the only way to get her to sleep. Get one where the baby sits upright like a baby bjorn. She is a little too young for it but you can support her too.
DD (and DS) wouldn't settle in a Moses; they both slept much better in a cot. Do you have the head of the Moses raised, this helps with the reflux; eg a phone book underneath the head end.
We found white noise really helped too; we struggled to find a CD that worked but used to put the hairdryer on the floor on a cold setting near her then gradually move it away,worked brilliantly!
Have you tried a cranial osteopath? They can help sometimes esp after traumatic birth, eg if you had forceps.
Are you co-sleeping? If not, then do so! Seriously, it's the only way to get some sleep! My DH slept on the couch downstairs for the first few months after DS was born as he didn't like being in the same bed.
Big un-mumsnetty hugs for you. It is truly a shitty time and it will improve xx