Do your counter have an appliance on it? For example, I found that if a dishwasher or garbage disposal is under the counter (I don't know if it happens to Store counters only) you would use for preparing food, the game recognize it as occupied and not cleared for cooking.
Holy shit, that fixed the cooking issue. That dishwasher had been there the whole time I've been playing and no issue. Maybe because that area was recently ravaged by fire and replaced... EDIT: I replaced the dishwasher and I can still cook, very odd.
I still have the move via computer and edit town issue, but I have no clue how long they've been around. The family has one human and two ghosts. I killed the human and waited a bit, but still couldn't edit town.