Infant Gas, and reflux, and sleep problems

Hello,
My son is 3 months old and has been having these problems pretty much since we brought him home from the hospital. He is exclusively breastfed, and is gaining weight appropriately.
He spits up after every feeding, sometimes it is a lot that comes back up and can happen up to 2 hours after eating. He swallows a ton of air when he eats which leads to a lot of gas, which is painful for him. He is always bringing his knees up to his chest and his stomach is always gurgly. I have cut out dairy, soy, and some veggies that cause gas out of my diet. He normally has had about 1 bowel movement per day, but for the past week he has been constipated and has not had any bowel movements. We have tried juice, suppositories, tummy massage, bicycle legs, with no success.
He is also teething now, and we have on an amber teething necklace for him which seems to take the edge off, and we use Hyland's teething tablets sometimes. We have also used Hyland's Colic tablets for the gas, but it doesn't seem to help much.
Sleep has been awful for him recently also. He used to be a good sleeper, but now he refuses to nap. At nights we can get him to bed, but he wakes up about an hour after putting him to bed and it takes an hour to put him back to sleep. He wakes once or twice to eat during the night as well. Sometimes it is hard to put him back to sleep, we think due to his painful gas, but we are not sure. He will not nap during the day, even though he is so sleepy. He yawns and rubs his eyes, but the moment we lay him down he screams so loud and for a long period of time. We don't know what to do anymore.
What would help most with the spitting up a lot, extreme gassiness, and the restlessness/refusing to sleep?

Patient ID: Sex: Age: M, 3 months

1. Describe your main suffering?
Painful gas, reflux, and poor sleep/restlessness/refusing to take naps


2. What other physical sufferings do you have in your body?
Painful tummy, stiff neck, constipation, rash on his cheeks from spitting up so much, screams


3. What mental sufferings / feelings do you have associated with your physical sufferings?
Overtired, sleepy all the time, just wants to be carried and held, and when he is put down he cries


4. What exactly do you feel when you are at your worst?
Pain in the tummy, cries and screams


5. When did it all start? Can you connect it to any past event or disease?
Started when he was born


6. Which time of the day you are worst?
All throughout the day. At night he spits up less, but still has a lot of painful gas. It wakes him up from naps and sleep sometimes

7. What are the things which aggravate your suffering and which are those which ameliorate the same?

Aggravate: being laid down on his back, swallowing air when eating and crying
Ameliorate: being held upright with his tummy against my chest, warm baths

8. Do your think your sufferings have relation to any external stimuli (like, change of place) or any internal biological changes in the body, like, menses (in females)?
constipation has made his wind stinkier and he seems more irritable


9. When do you feel better, during hot weather or cold weather, humid or dry weather?
unsure

10. Describe your general mental set up? Are you Moody, Arrogant, Mild, Agreeable Changeable, Nervous, Suspicious, Easily offended, Quiet, Arguing, Irritating, Lazy etc.
usually he is pretty mild and content. very observant and most happy when being carried or held. lately he is very touchy


- Do you like being consoled during your tough times?
being held and hugged

- Are you sensitive to external stimuli like smell, noise, light etc?
yes, especially light


14. How is your hunger: Less, Normal or Excessive?
eats every 2.5 hours on average


17. How is your bowel movement and stool type?
since birth it has always been mustard colored, mild smell, and very mucousy. the past week he has been constipated with very stinky wind.

18. How well do you sleep? Do you have a particular posture of sleeping?
refuses to nap, wakes often and wakes unhappy and still tired.


23. Describe, how do you look like? Describe your overall appearance
light brown curly hair, blue eyes, fair skin