Players can't get credited for last season's DL time. The roster is active in the off-season, meaning all DL must return to active. Which is why teams are actively squeezing for the rule 5 draft.
I heard somewhere Morales will be early June at best. He's not a factor right now. Ortiz could also get place on the 60 day if early May is his target return. Any grapefruit league game not played can be credited as DL time to the last game played.