Getting a card in the mail has nothing to do with getting the car inspected. If the registration for your license plate is due in March (sticker has the year the first letter of the license number is the month) then yet you would get something in the mail to renew your registration. Inspection is done at most garages and tests a cars worthiness to be on the road. Like if the wipers work, horn, headlights or if the brakes are still in good condition.
If you moved and did not update your address with the DMV then you may not get anything in the mail, it would go to an old address. Best of luck, better take care of it, tickets are no fun.