1. I have posted screenshots of the pets that I've personally breeded here on the last page:
https://forums.teamlava.com/showthrea...ictures/page11
and other people have too, so check in there for breeding times.
2. usually when building the betta fish or a fountain you need the water filter, getting the snowshoe cat i believe you need seeds and planks. and then the bird cages -purple valentines ones- you need a few but i can't remember what's needed at the moment, the purple bird cage you need valentine envelopes. Nothing else really needs anything, I have over 50 of each item just sitting in my storage.
3. when you play with others pets, it just boosts up your social hearts that appear at the bottom of your screen when you visit someone, it goes down when you don't visit daily though.
4,5,6. depends on how many neighbors you have, pretty much one a day from each neighbor if they send it to you. And you can only send one gift to each neighbor a day too.