Sorry you had a bad day.. but you did the right thing not to be rude right back!!! It is hard, but I have found "kill them with kindness" works .. well at least some of the time
I alos agree that the lady with the "topknotless" pup was taking her frustration out on you... that doesn't mean it is ok.. but if you understand it helps.
The "rat" lady is a jerk. She thought she was being funny but she wasn't. I have had people say things like that to me, I always come back with .."oh but she is my beautiful rat" and walk away. Some really don't mean harm.. and if it is only words don't let it get to you.
The big dog, well he may have felt you were insulting his dog? I do the same, I pick my little one up or put my body between a large dog and my other pups... and I say "oh no.... don't want them to be lunch" or something light.
It was cute to read your post... even if you were upset... because the terms and names you used were so different then here !!!!
Give your furkid hugs and kisses!!