Looks good. I prefer the asymmetrical lifts. Maybe because it's all I used for the 6 years I did automotive repair.
I'm currently looking for a used one, but at that price I might look more seriously at new.
Main appeal is wifi connectivity and looks.
Personally I prefer ecobee. It logs runtimes and temps. You can export to a spreadsheet and keep track of things if you're geeky like me :)
I even prefer Honeywell over nest, way more options for controlling ventilation, humidity etc.
Sounds good, I did find a pdf for those motors, diagrams are on page 55 and you have it correct.
Here is a link
http://www.ebmpapst.co.za/media/content/downloads_10/catalogs/ebmpapst_-_This_Fan.pdf
Post a picture of the motor tag, it should have a diagram. You shouldn't be using a neutral at all for that motor, hopefully you didn't fry it...
Here is the most likely correct way to connect it;
Green / yellow to ground
Brown wire to one side of capacitor (doesn't matter, black or red)...
There are plenty other brands to take up the slack.
Not to mention, any half decent hvac guy could make one. Air source heat pump and lineset and instead of connecting to a conventional a coil, use a plate heat exchanger and expansion valve and you have an air to water heat pump.
Air to water heat pumps are definitely available in the US. This is only one example, there are many other brands available as well. http://www.daikin.com/products/ac/lineup/heat_pump/index.html
One thing you're not saying is that taking the cheapest bid is a good way to get the crappiest work.
Overall she trusts them so nothing wrong with her using them for the replacement. They don't want to lose her business so they likely won't try to rip her off.
I've installed many water...
Where are you going for a neutral connection for those 120volt loads? The breaker will be fine, it will trip on overload from either leg. I'm more concerned that you might be using the 3rd conductor for ground and neutral both.