1. The 56% silver alloy is probably AWS BAg -7 (American Welding Society Braze ((Ag for Silver)) #7.)
The braze alloy is important because you need a brazing flux. Flux absorbs oxygen and gets used up with exposure to temperature over time. Soldering flux will get used u p too fast.
This alloy is popular because it wets out well but it is a relatively weak alloy. It is designed for uses like band saw teeth on meat saws.
Silver is just part of the metallurgy. A 50% Silver with Cadmium or a 49% Silver with Manganese would be about 40% stronger.
2. Get the copper sanded or ground so that the mating surfaces are clean and bright. Then clean with a caustic or a detergent (not a solvent) and rinse well.
3. I would preposition a fluxed braze alloy ring between the two parts and heat the whole assembly at once.
4. Use a purified Black Flux. Common flux is made to be used externally so inert materials don't matter. You are using it internally so they do matter.
5. You can pretty well tell how good the joint is by examining the outside. A lot of this is covered at
http://www.carbideprocessors.com/Brazing/book/index.htm The free stuff is at the bottom.
If you want to send me pictures I will be happy to look at them. I am rewriting Braze Failure Analysis and would look at your parts no charge if I could include it as a case study with or without your name as you wish.
tom