Hi summer, my dd2 had laryngomalacia - and yes, reflux from birth. Hers was diagnosed when she had RSV at 4 weeks and nearly died in hospital, at which point they spotted the noisy breathing and started treating her lying on her front (much easier for laryngo babies to breathe that way) and assisting her breathing till she got better.
GP fobbed me off with baby gaviscon till 8 weeks, at which point I took her to ENT and they automatically gave her Domperidone and Ranitidine, which helped a lot. She stayed on them till just over 14 months.
As her tonsils and adenoids were huge, her breathing got worse again as she grew and she had sleep apnoea and was losing weight - solids were hard for her. At that point we taped her asleep and played the tape to the ENT surgeon, who immediately ordered adenotonsillectomy and, during the op, also snipped the folds in her larynx to widen her airway: since then? Wonderfully normal, bar tendency to loud snoring 
She's nearly 9 now, and we never looked back, but those first 2 years were very stressful...and the biggest thing I learned was to be the squeaky wheel, and demand ENT paeds for anything related to her breathing/feeding. I'm really glad you're being referred, the sooner the better as it really is the one place in the paeds world where the issues are understood and addressed.
Wishing you all the best with your LO, and honestly - it does all come right in the end 