No, not if we're talking about ppms in the low hundreds. Almost all groundwater, river water, etc has a few hundred ppm of various salts. Perfectly normal and actually how plants get a lot of trace minerals.
Ok, it's hard to tell when you have a water softener, but I'd say based on your pH and the fact that you have hard water that you already have calcium in your water. "Hard" water generally implies calcium/magnesium carbonate.
Slight acidity can be associated with a ton of things, it's more common than alkalinity. Wells installed in limestone or dolomite are generally alkaline. Most other wells are slightly acidic. If you smell sulphur then your acidity is related to hydrogen sulphide, it can also be weak metal acids, organics in the aquifer, almost anything not a carbonates or bicarbonate (soda) can lead to slightly acidic water.