It could be you, it could be them, it could be a couple you and a couple them. You might be impossible to get along with or you might have had terrible luck to have ended up with 5 impossible neighbours. It's just impossible to say. Each of the situations you outline have many different possibilities that would totally change who was at 'fault' and what's going on here (except No 5!)
Your ex childminder, for example. Did she change hours on you, or did you let her down and she responded badly?
Cat sit people, if they were happy to have you cat sit and then got funny with you after, I can only assume that they came home to something that upset them. Mess? cat shit on the bed? Had you made a coffee? Could be anything.
Neighbour who cheated, well, none of your business was it? So either you involved yourselves or she involved you. Without knowing exactly what happened (and I appreciate that you can't say) it's just impossible to know whether you guys involved yourselves in something that was someone else's business, judged her or whether she, for example, tried to get you to lie for her, etc
Shit stirring neighbour clearly an arse
but was neighbour telling lies, or giving accurate information that perhaps would have been better off not shared.
Racist neighbour should be slapped until their face falls off.