Will I be forced to bring fridge and laundry circuits up to code?
There's no general retroactivity requirement in the CEC that I can find

CEC Rule 2-022 only requires renovation of the electrical installation if some hazard is posed by the condition of the installation or as a result of alteration thereto:


  The inspection department may require such changes as may be necessary to be made to existing installations
  where, through hard usage, wear and tear, or as a result of alterations or extensions, dangerous conditions have
  developed.


However, if you're required to upgrade: Dedicated, yes.  20A, no.

The CEC (as of the 2015 edition I was able to find) does require dedicated circuits for the laundry (26-722(b)) and refrigerator (26-722(a)) receptacles; however, they are permitted to be 15A receptacles on 15A circuits.