Seeking constitutional remedy for my 4.5year old son

My son suffers from frequent colds with thick running discharge, going on to ear ache and discharge from the ear, occasional fever and cough. Looks like dust allergy or playing in mud triggers these attacks. He has taken various homoeopathic and allopathic treatments including many courses of antibiotic (especially after the mid-ear infection strikes at some stage) not to speak of all kinds of home remedies and decoctions and concoctions.
Currently: He is having a nasal discharge for nearly 3 months now!
Disposition: He is an active, friendly and talkative child though he stutters a little especially with words starting with 'ha' sound (aitches). He is very insistent and persistent and just wants what he wants. If promised something, he doesn't forget it or allows you to forget. High spirited, hard to discipline child but has picked up well in his LKG studies, though the teacher says that he gets bored soon and keeps asking for water and toilet breaks just so that he can take little walks down the corridor. His energy levels are very high. Sleep: His hands and feet get rather hot as he feels sleepy and he wants to hold my arm which is much cooler (me being a hypothyroid!) before he goes to sleep. Though he doesn't wake up in his sleep, he tosses and turns a lot in his sleep and settles down into a peaceful sleep only around 3am. Most nights he gets out of his bed around this time and comes to our bed where he continues his sleep. He starts snoring soon after he drops asleep and one of his nostrils is always almost blocked.
Food: His appetite is normal. Loves eggs and curd rice. Drinks fair amounts of water. Likes certain sweets, esp chocolates and candies and ice creams. Loves to play in water.
Bowel movements: fairly easy and regular though doesn't have a fixed time for it.
Please let me know if there is any other information you would need to figure out his constitutional.