When Kompose warns you:

WARN Volume mount on the host "/usr/docker/adpater/license.json" isn't supported - ignoring path on the host

It means that it can't translate this fragment of the docker-compose.yml file into Kubernetes syntax:

volumes:
    - ./license.json:/run/secrets/rji_license.json

In native Kubernetes, you'd need to provide this content in ConfigMap or Secret objects, and then mount the file into the pod. You can't directly access content on the system from which you're launching the containers.

You can't really get around directly working with the Kubernetes YAML files here. You could run kompose convert to generate the skeleton files, but then you'll need to edit those to add the ConfigMaps, PersistentVolumeClaims (for the database storage), and relevant volume and mount declarations, and then run kubectl apply -f to actually run them. I'd check the Kubernetes YAML files into source control, and maintain them in parallel with your Docker Compose setup.

Move2Kube (which does support docker-compose translation), can handle this case and tries to convert the volumes by interacting with you.

    ? 6. [] What type of container registry login do you want to use?
Hints:
 [Docker login from config mode, will use the default config from your local machine.]
 No authentication
? 7. Do you want to create PVC for host path [/Users/ashok/wksps/hc/temp/test2/src/dbdata]?:
Hints:
 [Use PVC for persistent storage wherever applicable]
 Yes
? 8. Do you want to create PVC for host path [/Users/ashok/wksps/hc/temp/test2/src/license.json]?:
Hints:
 [Use PVC for persistent storage wherever applicable]
 No
? 9. Do you want to create PVC for host path [/Users/ashok/wksps/hc/temp/test2/src/certificates/ssl.crt]?:
Hints:
 [Use PVC for persistent storage wherever applicable]
 No
? 10. Do you want to create PVC for host path [/Users/ashok/wksps/hc/temp/test2/src/certificates/ssl.key]?:
Hints:
 [Use PVC for persistent storage wherever applicable]
 No
? 11. Do you want to create PVC for host path [/Users/ashok/wksps/hc/temp/test2/src/server.xml]?:
Hints:
 [Use PVC for persistent storage wherever applicable]
 No
? 12. Which storage class to use for persistent volume claim [vol17655897939759777588] used by [mysql]
Hints:
 [If you have a custom cluster, you can use collect to get storage classes from it.]
 default
? 13. Provide the ingress host domain
Hints:
 [Ingress host domain is part of service URL]
 myproject.com
? 14. Provide the TLS secret for ingress
Hints:
 [Enter TLS secret name]

If the above choices were made Move2Kube creates the following artifacts:

apiVersion: apps/v1
kind: Deployment
metadata:
  annotations:
    move2kube.konveyor.io/service.expose: "true"
  creationTimestamp: null
  labels:
    move2kube.konveyor.io/network/integration: "true"
    move2kube.konveyor.io/service: tomcat
  name: tomcat
spec:
  replicas: 2
  selector:
    matchLabels:
      move2kube.konveyor.io/service: tomcat
  strategy: {}
  template:
    metadata:
      annotations:
        move2kube.konveyor.io/service.expose: "true"
      creationTimestamp: null
      labels:
        move2kube.konveyor.io/network/integration: "true"
        move2kube.konveyor.io/service: tomcat
      name: tomcat
    spec:
      containers:
        - image: adapter:poc
          imagePullPolicy: Always
          name: tomcat
          ports:
            - containerPort: 8080
              protocol: TCP
            - containerPort: 8443
              protocol: TCP
          resources: {}
          volumeMounts:
            - mountPath: /run/secrets/rji_license.json
              name: vol16871681589659214643
            - mountPath: /usr/local/tomcat/conf/ssl.crt
              name: vol12635587774184387470
            - mountPath: /usr/local/tomcat/conf/ssl.key
              name: vol7446232639477381794
            - mountPath: /usr/local/tomcat/conf/server.xml
              name: vol4920239289720818926
      restartPolicy: Always
      volumes:
        - hostPath:
            path: /Users/ashok/wksps/hc/temp/test2/src/license.json
          name: vol16871681589659214643
        - hostPath:
            path: /Users/ashok/wksps/hc/temp/test2/src/certificates/ssl.crt
          name: vol12635587774184387470
        - hostPath:
            path: /Users/ashok/wksps/hc/temp/test2/src/certificates/ssl.key
          name: vol7446232639477381794
        - hostPath:
            path: /Users/ashok/wksps/hc/temp/test2/src/server.xml
          name: vol4920239289720818926
    status: {}

and

apiVersion: apps/v1
kind: Deployment
metadata:
  annotations:
    move2kube.konveyor.io/service.expose: "true"
  creationTimestamp: null
  labels:
    move2kube.konveyor.io/network/integration: "true"
    move2kube.konveyor.io/service: mysql
  name: mysql
spec:
  replicas: 2
  selector:
    matchLabels:
      move2kube.konveyor.io/service: mysql
  strategy: {}
  template:
    metadata:
      annotations:
        move2kube.konveyor.io/service.expose: "true"
      creationTimestamp: null
      labels:
        move2kube.konveyor.io/network/integration: "true"
        move2kube.konveyor.io/service: mysql
      name: mysql
    spec:
      containers:
        - env:
            - name: MYSQL_USER
              value: integrationdb
            - name: MYSQL_PASSWORD
              value: password
            - name: MYSQL_ROOT_PASSWORD
              value: password
          image: db:poc
          imagePullPolicy: Always
          name: mysql
          ports:
            - containerPort: 3306
              protocol: TCP
          resources: {}
          volumeMounts:
            - mountPath: /var/lib/mysql
              name: vol17655897939759777588
      restartPolicy: Always
      volumes:
        - name: vol17655897939759777588
          persistentVolumeClaim:
            claimName: vol17655897939759777588
status: {}

and

apiVersion: v1
kind: PersistentVolumeClaim
metadata:
  creationTimestamp: null
  name: vol17655897939759777588
spec:
  resources:
    requests:
      storage: 100Mi
  storageClassName: default
  volumeName: vol17655897939759777588
status: {}

Essentially depending on your choice Move2Kube will create the appropriate artifacts for you.

You can check out how it works in https://konveyor.github.io/move2kube/tutorials/docker-compose/.