Original Poster, no one is putting words in your mouth.  You're putting words in your own mouth.  That you don't even realize it...that's really kind of unsettling.
Only ONE PERSON said anything about learn how to ask horse to walk, trot, canter.  You're just avoiding the fundamental issue by turning the discussion to unimportant details.
If asked to demonstrate that you need an instructor/trainer there to help you, I just point to the posts you've made.  
Experienced horse people often wind up trying to help inexperienced horse people, and the conversation usually goes just like it did here - when told they need help, the person protests vehemently and tries to pick apart the discussion, and demands to know what the proof is that they need assistance.
The answer is always, 'everything you just said'.
how to get the horse to bond.  how to get the horse's attention.  how to muscle the horse up - "The area where the saddle goes is NOT slopped down, its just fine......so we don't have to worry about building that up"
I think you mean sloped down....in any case, that isn't how you tell if the back has muscle, or needs more muscle or not.
re: riding in snow.  Generally, unless it's very dry snow and you ride across that spot only once, the horse either winds up slipping on ice or mud.  Snow doesn't usually make a very good surface for a riding arena where you ride around and around on the same tracks.  Unless something is done, and often in spite of that, horses also pack snow inside their hooves, and it turns into ice, and they slip on it.  There are very few parts of the US where one can use snow as a riding arena surface and ride around and around on it.  Unless there is a very large field, and one keeps riding away from one's previous tracks.  Even then, there is going to be some slipping and sliding, and even a very experienced rider can fail to keep the horse on all 4 feet when that happens.  Unless the field is very good, there will also be the possibility of a leg going into a hole or hitting rocks or roots the snow covers up.