How to create S3 bucket with all available permissions ? (on testing with mocha)

I need to have some generated S3 bucket with all avavilable permissions - READ and WRITE are mandatatory.

I tried so far to make it using this code:

var createBucketParams = {Bucket: bucketName, ACL: 'public-read-write', GrantFullControl:'FULL_CONTROL'};
S3.createBucket(createBucketParams, function(err, data) {
    if (err) {
        console.log("Error while calling createBucket() - Error: " + err);
    } else {
        console.log("Successfully Bucket created.");
    }
});

My problem is that the permissions are not working well, i'm getting AccessDenied while trying to getObject(), any ideas how to solve it ?

EDIT: This is my current code with all the latest changes:

before(() => {
    console.log("Mocking AWS.DynamoDB.DocumentClient API");

    AWSMock.mock('DynamoDB.DocumentClient', 'put', function(params, callback) {
        callback(null, "Mock: successfully put object in DynamoDB");
    });

    console.log("Mocking AWS.S3 API");

    AWSMock.mock('S3', 'createBucket', function (params, callback){
        callback(null, "successfully bucket created in S3");
    });
    AWSMock.mock('S3', 'putObject', function (params, callback){
        callback(null, "successfully put item in S3");
    });
    AWSMock.mock('S3', 'getObject', function (params, callback){
        callback(null, "successfully get item in S3");
    });
    AWSMock.mock('S3', 'putBucketPolicy', function (params, callback){
        callback(null, "successfully putBucketPolicy in S3");
    });

});


it('Writing a file to S3 with user metadata - when data is valid JSON and updating the DB is Succeed',
    function(done) {

        var bucketName = 'my.unique.bucket.name';
        var fileName = 'fileName.csv';
        var s3Policy = {
            "Version":"2012-10-17",
            "Id":"http referer policy example",
            "Statement":[
                {
                    "Sid":"Allow get requests originating from www.example.com and example.com.",
                    "Effect": "Allow",
                    "Principal": "*",
                    "Action": ["s3:GetObject,s3:PutObject"],
                    "Resource": "arn:aws:s3:::" + bucketName + "/*",
                    "Condition": {
                        "IpAddress": {"aws:SourceIp": "127.0.0.1"},
                        "NotIpAddress": {"aws:SourceIp": "127.0.0.1"}
                    }
                }
            ]
        };

        var S3 = new AWS.S3();
        var createBucketParams = {Bucket: bucketName, ACL: "FULL_CONTROL", Region: "us-west-2"};
        S3.createBucket(createBucketParams, function(err, data) {
            if (err) {
                console.log("Error while calling createBucket() - Error: " + err);
            } else {
                console.log("Successfully Bucket created.");
            }
        });

        var putBucketPolicyParams = {
            Bucket: bucketName,
            Policy: JSON.stringify(s3Policy)
        };
        S3.putBucketPolicy(putBucketPolicyParams, function(err, data) {
            if (err) console.log(err, err.stack);
            else     console.log(data);
        });


        var putObjectParams = {Bucket: bucketName,
            Key: fileName,
            Body: 'Hello!',
            Metadata: {startDate: "2016-12-12T12:34:56.000Z", endDate:"2016-12-31T12:34:56.000Z",
            userName:"someUser",
        originalFileName:"fileName.csv"}};
        S3.putObject(putObjectParams, function(err, data) {
            if (err) {
                console.log(err, err.stack)
            } else {
                console.log("Successfully put a file to bucket");
            }
        });


        LambdaTester(myHandler)
            .event(JSON.parse(JSON.stringify(require('./testcases/single_record_with_user_metadata.json'))))
            .expectSucceed(function(result) {

                expect(result.valid).to.be.true;
             })
            .verify(done);
    });

And the usage in the js file:

S3.getObject(s3FileParams, function(err, data) {
    if (err) {
        var message = "Error while trying to get file object " + fullFileName + " from bucket " + bucketName + ". Make sure they exist and your bucket is in the same region as this function. Error: " + err;
        console.error(message);
        // console.log(err, err.stack);
        console.log(JSON.stringify(err, null, 2));
    } else {
        userMetaDataJson = JSON.parse(JSON.stringify(data.Metadata));
    }
    resolve();
})