Send Messages to Rabbitmq from Outside Kubernetes Cluster Using Nginx-Ingress

I am trying to setup a RabbitMQ tasks queue in a kubernetes cluster and need to be able to populate the task queue from outside of the kubernetes cluster. I am trying to accomplish this using the nginx ingress controller. I am running into errors when trying to declare a queue or send messages to an existing queue from outside of the cluster. Using the amqp-tools cli in Ubuntu from outside the cluster I get an error:

$ export BROKER_URL=amqp://<host-name>:80/rabbitmq
$ /usr/bin/amqp-declare-queue --url=$BROKER_URL -q foo -d

logging in to AMQP server: invalid AMQP data

If I do this same thing from a VM inside the cluster, I can create and send message to the queue just fine. I am also able to connect to the RabbitMQ management UI from outside of the cluster but if I try to declare a queue from the UI I get the error Management API returned status code 405 - displayed at the bottom of the screen.

I was reading that the virtual host in RabbitMQ '/' has problems with nginx because of how it parses the host but I am not very experienced with this sort of thing and dont know how to fix that.

Any help with this would be greatly appreciated.

I am deploying the nginx ingress controller with the recommended manifest:

kubectl apply -f 

RabbitMQ is deployed with this manifest:

---
apiVersion: v1
kind: Namespace
metadata:
  name: rabbitmq
  labels:
    app: rabbitmq
---
apiVersion: v1
kind: Service
metadata:
  name: rabbitmq-service
  namespace: rabbitmq
  labels:
    component: rabbitmq
spec:
  type: ClusterIP
  ports:
  - name: amqp
    port: 5672
    targetPort: 5672
    protocol: TCP
  - name: http
    port: 80
    targetPort: 15672
    protocol: TCP
  selector:
    app: taskQueue
    component: rabbitmq
---
apiVersion: extensions/v1beta1
kind: Ingress
metadata:
  name: rabbit-ingress
  namespace: rabbitmq
  annotations:
     /$1
     "false"
spec:
  rules:
  - host: <host-name>
    http:
      paths:
      - path: /rabbitmq/?(.*)
        backend:
          serviceName: rabbitmq-service
          servicePort: 5672
---
apiVersion: extensions/v1beta1
kind: Ingress
metadata:
  name: rabbit-manage-ingress
  namespace: rabbitmq
  annotations:
     /$1
     "false"
spec:
  rules:
  - host: <host-name>
    http:
      paths:
      - path: /rabbitmq-manage/?(.*)
        backend:
          serviceName: rabbitmq-service
          servicePort: 80
---
apiVersion: v1
kind: ReplicationController
metadata:
  labels:
    app: taskQueue
    component: rabbitmq
  name: rabbitmq-controller
  namespace: rabbitmq
spec:
  replicas: 1
  template:
    metadata:
      labels:
        app: taskQueue
        component: rabbitmq
    spec:
      containers:
      - image: rabbitmq:3-management
        name: rabbitmq
        ports:
        - containerPort: 5672
        - containerPort: 15672
        resources:
          limits:
            cpu: 100m