Dynamic wiremock to capture path parameter and return in response

You can achieve this by using response templating. You'll need to add --global-response-templating to how you are starting up your standalone server, and then you can use response templates.

I think you'd want something like:

{
  "request" : {
    "urlPathPattern" : "/api/account/.*",
    "method" : "GET"
  },
  "response" : {
    "status" : 200,
    "body" : "{ \"cycleSpecification\": { \"id\": \"{{request.path.[2]}}\" } }"
  }
}

Check out the documentation on the request model for more information

For your second question, if the query parameters were sent as separate query parameters, you'd be able to reference them with the request model.

{
  "request" : {
    "urlPathPattern" : "/api/account/.*",
    "method" : "GET",
    "queryParameters": {
        "myParty.id" : {
            "matches": ".*"
        },
        "myParty.role": {
            "matches": ".*"
        }
    }
  },
  "response" : {
    "status" : 200,
    "body" : "{ \"cycleSpecification\": { \"id\": \"{{request.query.party.id}}\" } }"
  }
}

Since it doesn't look like you're query parameters are being sent separately, unfortunately, I think you'll need to create a transformer to modify your response.