It's the same time period, the husband's name is Jim... it only makes sense. Several years after the events of Magi
, they've overcome the financial struggles of their newlywed days and moved from their old apartment into a nice house with room for a dog and a baby.
Tramp is a poodle-german shepherd mix
When you Google "Poodle and germa shepherd" some of the results bear a very striking resemblance to him.
Jock has lost his sense of smell, not Trusty.
Trusty is a bloodhound. As portrayed in the film, it would be a big deal for a bloodhound to lose his sense of smell, but maybe not so much for a yippy little Scottish terrier. He's in denial, and desperately trying to project it onto Trusty, probably so that he won't be laughed at. At the beginning, when Jock is explaining to Lady that Trusty has lost his sense of smell, Trusty is tracking the movements of a bug in his sleep.
It's clear that Trusty's sense of smell is just fine, but Jock wants to make it a point of contention, likely to distract from his own inability to smell. It comes to a head near the end, when Jock and Trusty are trying to find the thief, and Jock reminds Trusty that he has lost his sense of smell. The "What the f*ck" look Trusty gives in response is priceless.