ERC errors may relate to something the is an electrical fault, like no path to power or ground within your layout. An example of this would be an NWELL which is not tied off to VDD. This can happen if someone places an NWELL guard ring and forgets to connect it to VDD.
-floating NWELL
-source and drain connected to power and ground
-floating gate
-floating DNWELL
-floating PWELL
-NWELL pickup connected to ground
It also shows up for 'hot-wells' , when the NWELL structure is connected to something other that a known power net , like in the case of a pmos input pair.
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Soft-connects are very different however, this shows a connection between two nets or grounds. An example of this would be two grounds connected together like AVSS_analog and VSS_digital. Normally a soft-connect would show up if the nets are connected through the SUBSTRATE. They should have been isolated via DNWELL but for some reason they are not.
Only a quick explanation, hope that helps.