Period Closing consideration for OPM enabled Inventory Organization

Hi Experts,

I would like to know what are the necessary setup we need to consider in creating a new OPM enabled Inventory Organization at the middle of the year.  We already have an existing calendar assigned to a Ledger will below status for each period:

JANUARY- CLOSED
FEBRUARY-CLOSED

MARCH-CLOSED

APRIL-OPEN

For the newly created Inventory Organization, Is it okay if the month of APRIL will be the first period to be opened, or there is a need to open the January to March period so that Inventory period and Costing Calendar are in sync?

Hope you can give advise on this.