It is possible to add separate billing period for each resources. Please see the steps below
If you have 2 Resource rates as you created as applicaton resource unit.
Create Service plan and add subscription periods for example please add 1 month period,1 year period
Add the resourcerates inside the Resource Rates tab.
After that click on the Resourcerate you added, then you can see the “Resource Rate periods” tab.
Using “Add New Resource Rate Period” Button you can add subscription period plans.
Note: in this case may be storefront will show two subscription period, as you selected in the subscription periods in the Service plans.So please make “active” only one plan inside the subscription period in service plan.