I just got my BS in Env Sci with a concentration in water management and hydrologic science (water quality) and have experienced what you have so don't think your crazy. What ever it is clearly something is up with your water in tank and tap. Do you live in a rural area with farming or agriculture, a swamp or in a forest? You said well water so I am assuming you have some contamination in your well and that's what is causing some issues on top of the move. It might be two separate issues, Regardless 2mg/l of ammonia outta the tap is no good. Your rodi will filter with carbon filter but a chloramines filter or more carbon pre filters would be better. Like others have said I would suggest a better filtration system from the well or tap into the house and using carbon on the tank for now.
For reference
From the WHO:
http://www.who.int/water_sanitation_health/dwq/ammonia.pdf
Natural levels in groundwaters are usually below 0.2 mg of ammonia per litre. Higher natural contents (up to 3 mg/litre) are found in strata rich in humic substances or iron or in forests (8). Surface waters may contain up to 12 mg/litre (1). Ammonia may be present in drinking-water as a result of disinfection with chloramines.
The presence of ammonia at higher than geogenic levels is an important indicator of faecal pollution (5). Taste and odour problems as well as decreased disinfection efficiency are to be expected if drinking-water containing more than 0.2 mg of ammonia per litre is chlorinated (9), as up to 68% of the chlorine may react with the ammonia and become unavailable for disinfection (10). Cement mortar used for coating the insides of water pipes may release considerable amounts of ammonia into drinking-water and compromise disinfection with chlorine (10).