Asthmatic cough and anxiety attacks in 10 year old boy

Dear Sirs,
I will appreciate your advice on the correct constitutional remedy for my son.
He is 10 years old, tall and slim, big brown eyes, brown hair, pale skin. I will upload a photo for you.
Soon after he was born, he had eczemas on his both cheeks, on the inside of the elbows and the knees. The eczema was very itchy and persistent and he was scratching his face, elbows and knees all the time. After the eczema was treated conventionally with corticosteroids and other cremes, as well as antihistamine, we moved him to his own room to sleep alone. The eczema disappeared, but cough started during his sleep, normally at about 03-04 in the morning. He wouldn't wake up and it would last about an hour, then after opening the window, he would stop coughing until the morning. Every cold and sickness would make him cough with obstruction in the lungs, wheezing and shortness of breath (asthmatic cough).
Nowadays, he is an energetic pupil, going to school. The attacks are much rare, but still exist. Each homeopathic remedy in high potency (200, 1M, etc) would cause him an attack in about 5-10 days. We handle the attacks with Ars Album, Drosera, Ipecac, Pulsatilla, Phosph, depending on the symptoms. Besides the asthmatic cough, he almost doesn't get sick.
During the attack, he is extremely restless, we recently noticed, that he has the so called "restless leg syndrome"- he is constantly moving one of his legs during cough. He is difficult to stay in one pose, even during watching TV, he would move around the sofa, sometimes lay on the carpet or watch with his head down.
He sweats during sleep.
When not sick, he is a bright optimistic child. He has many friends at school, in the neighborhood, etc. He is easy at making friends. His zodiac sign is Libra.
However, he is good at school and his teachers think, that he is doing ok, but at home he is very difficult. He never wants to make his homework and starts arguing for no reason. When he starts an argument, he would start a silly crying immediately and saying stupid things- that we lie to him, that we blackmail him, etc. He wouldn't listen at anything we say. There is a lot of rage and anxiety. He would go out of the room, crash the door and start hitting the wardrobe in his room.
He feels no guilt after such attacks and he would never excuse for anything he said to his parents.
During the day, he speaks very fast, sometimes you wouldn't understand what he said. He is visiting a speech therapist for problems with pronouncing R. He has a lot of salivation in his mouth. When he is angry or when excited, his voice becomes thin, as screaming.
Cough is connected to excitement, he is easily excitable, most of the time from positive events, like a game, playing with friends, etc. Excitement often comes before going to sleep, he always starts a game and gets excited. Soon after, the cough starts. He is most active in the evening, when we try to put him to sleep.
During the day, he randomly sneezes - 2 or 3 times in a series.
We have noticed, that he plays basketball with his tongue out. Most of the time he breathes through his mouth, he also sleeps with open mouth.
Our pediatrician thinks, that he has sinusitis.
He is very attracted to sweets and junk food. He could eat something all the time- chocolate, bake rolls, candies and ice cream. He eats ice cream every day. He may not have lunch, but just buy a package of junk food instead. Normally he eats crispy chicken, soups, pizza, meatballs, sandwiches. When playing, he forgets about eating. He prefers drinking cold drinks, likes milk.
He is very curious.
Gets bored easily and wants to do something interesting. Often he wants one of his parents involved and he insists on it endlessly.
He doesn't show any affection to parents during the day, but often before bed time, he would come to our bed, hug each one of us and say that he loves us.
He has a very dirty looks, does not take any care of his appearance. To him this is not important, he never combs his hair, doesn't combine clothes, etc. Most of the time looking as if he does not care what he is wearing and how he looks like. Dirty nails and hair. Dirty hands, colored with pen in school all the time. Every day his daily clothes are dirty.
He definitely has an attitude towards money. He has his own savings and keeps good accounting on what he is spending on.
Hard to concentrate.
He likes to play outside in fresh air, doesn't wear warm clothes.
Despite these anger and behavioral problems, at first contact, one would find him a very balanced and well educated child.
He is not shy, he often starts conversation with adults when curious about something or wants someone to play with him.
Often he has conjunctivitis and eye problems.
Even when he is not sick, he sniffs a lot.
When watching tv or writing homework, he would put the pen, the remote or other objects in his mouth all the time.

So far we have tried following constitutional remedies: Lycopodium, Silicea, Cal. Carb, Sulphur, Agaricus, Aconite, Mercurius.

Under consideration are: Tarentula, Veratrum Album, Hyosciamus, Saccharum, Tuberculinum.
Any advice and opinion are highly appreciated.