Let's answer this straight up: you can't specify multiple ResultPath values, because it doesn't make sense.  Amazon does do a pretty bad job of explaining how this works, so I understand why this is confusing.
You can, however, return multiple result values from a State in your State Machine.
General Details
The input to any State is a JSON object.  The output of the State is a JSON object.
ResultPath directs the State Machine what to do with the output (result) of the State.  Without specifying ResultPath, it defaults to $ which means all the input to the State is lost, replaced by the output of the State.
If you want to allow data from the input JSON to pass through your State, you specify a ResultPath to describe a property to add/overwrite on the input JSON to pass to the next State.
Your scenario
In your case, $.value1 means the output JSON of your State is the input JSON with a new/overwritten property value1 containing the output JSON of your lambda.
If you want multiple values in your output, your lambda should return a JSON object containing the multiple values, which will be the value of the value1 property.
If you don't care about allowing input values passing through your State, leave the ResultPath as the default $ by omitting it.  The output JSON containing your multiple values will be the input to the next State.
Support scenario
Here's a simple State machine I use to play with the inputs and outputs:
{
  "StartAt": "State1",
  "States": {
    "State1": {
      "Type": "Pass",
      "Result": { "Value1": "Yoyo", "Value2": 1 },
      "ResultPath": "$.Result",
      "Next": "State2"
    },
    "State2": {
      "Type": "Pass",
      "Result": { "Value2": 5 },
      "ResultPath": "$.Result",
      "Next": "State3"
    },
    "State3": {
      "Type": "Pass",
      "Result": "Done",
      "End": true
    }
  }    
}
Execute this with the following input:
{
  "Input 1": 10000, 
  "Input 2": "YOLO", 
  "Input 3": true
}
Examine the inputs and outputs of each Stage. You should observe the following:
- The input is passed all the way through, because the ResultPathalways directs output to aResultproperty of the input.
- The output of State1is overwritten by the Output ofState2.  The net effect isResult.Value1disappears andResult.Value2is "updated".
Hopefully this clarifies how to use ResultPath effectively.