After Closing - Structural Issue from Water Leakage - Insurance?

[Lydia Kay]

I closed on a house few months ago and have found out the plate, rim boards, and the part of joists (about 5~6 joists) in the front of the house are rotten. The level of the land is in a slight downward slope, which leads all water to the front of my house. Also found a small hole on the base of the front porch blocked with rocks from the previous owner.

Will this be covered by insurance? Since this damage is from a prolonged water leakage, I don't think my recent insurance will cover it. Would I be able to request the previous owner to open a case from his cancelled Traveler's policy? I heard even if the policy has been cancelled, the policy holder could open a case for the damages that has been caused in the past.