A group of children feature << really quite sure
Someone has a dog << fairly sure, probably most kids' books did
Two of them are brother and sister << less sure
One of the children is kidnapped. It's resolved when one of the children is talking to the postman (80% sure) and figures out that he is the kidnapper. Turns out he kidnapped the child because...following is vague memory, likely faulty...the child's parents are going to sell the post office they own and the postman will be out of a job.
It was a children's book in a UK library in the 90s but of course could be older. Unclear if it was part of a series. Feels like it was set in the UK.