If there is LVS error, usually, the parasitic extraction either cannot be run, or its output may be bogus.
(it depends on what kind of LVS error you have. For example, if you have nets shorts - your netlist will be completely wrong).
I don't think PDK problems are "inevitable".
CalibreView is just one of the possible output formats of extraction tool (Calibre PEX).
If you generate DSPF from parasitic extraction, you can either directly simulate it in SPICE (DSPF file is fully SPICE compatible), or instantiate it in hierarchy editor / test bench in ADE.