The roof is tile,however also I believe the condition of the roof is in question
I see that it needs re pointing possibly and maybe looking at the ceiling you have a possible water leak whether this is from the gutter you speak of or the tiles.
The fan photo looks like the ceiling is actually moving and creating the peeling effect around it.This could also be the timber that the fan is screwed to is rotting /white ants or just loose.
I also notice new timber around the eve sheets that tell me that possible movement around the house has happened or old ones have fallen off for some reason..
I don't know if you just bought this house or is an IP you have owned for a while.
This is what I would do :
1:Get someone to look at the roof first to determine if it is leaking?If so get it fixed.
2:Enter the manhole and look for possible leaks from roof , also keep an eye out for obvious white ants while up there,also check around the fan and make sure it is secure and not going to fly off and kill someone.
3:Get gutter fixed if you believe it is leaking into house,this can cause wood rot amongst other things.(Feed and promotes white ants)
I don't want to alarm you but you need to do something now.