Questionable profile/sitting request?

For this one, I'd suggest you contact Rover. Although they will not actually share everything they can see with you, they can review all of this person's activity since they joined, including messages to other sitters. If your time is more limited, you could also click the small flag "report this conversation" (which basically does the same thing in sending the message to Rover of hey, this looks kind of sketchy).

Since the profile was created a year ago, it's possible their pet changed or the information was incorrect, but it sounds like you made the right call to decline meeting at your home. Ideally, you can offer to meet in a public place near your home so if the meet & greet is going well, and you can offer that after we and our dogs meet each other if it seems like a good match, it's a short drive or walk to my place.

With boarding, I think most people want to see where the dogs stay. Recently I talked with someone who saw a bunch of dog crates/kennels in the sitter's garage. He figured that if he boarded his dog there, it was possible that his small dog (which had never stayed anywhere other than with family) would be in that type of environment.