you really want to catch me in an inconsistency but you picked the wrong vegan to fuck w
keeping pets is objectively not vegan. if society were to truly move away from animal exploitation, then we wouldn't have pets. it would be a contradiction. that being said, i don't think there is anything wrong with rescuing animals. a lot of "pets" exist because of selfish human behavior (buying animals and abandoning them, breeding them, not getting them fixed, etc). so there is a lot of companion animals that are suffering, particularly cats and dogs. i don't think the most vegan thing to do is to euthanize them all, personally. i think adopting them, having them spayed/neutered, providing for them, and discontinuing intentional or negligent breeding is the more vegan solution. fundamentally, it isn't right to keep animals (or to alter them, for that matter), but i think there is an ethical argument for providing a safer, happier life for an animal than what it would receive otherwise (on the street or being euthanized). taking animals out of the wild, or purchasing animals, is never vegan or ethical.
as for kids, this is a very divisive topic among vegans. i personally don't think having kids is vegan, but more because i believe that vegan requires environmental ethics (you can't argue that you care about animals if you don't consider the suffering of wild animals, as well, and environmental degradation is a huge threat to wildlife). having kids is one of the most environmentally impactful things a person can do, and it's completely optional. there is no objective justification for having children. veganism is about avoiding harm to animals as far as possible and practicable, and avoiding reproducing is very possible and practicable, so i don't think it's vegan. but my viewpoint is definitely in the minority, it is actually a huge blindspot in the vegan community.