Well.......damp is usually due to poor ventilation. Have you tried airing the house, opening windows etc after baths or showers?
If a wall is falling down, then it's the LLs responsibility unless its you who have damaged the wall?
I cant see why you would 'start having problems' with asbestos? If you leave it alone it is fine. What are the problems youre having with it?
'Kitchen falling apart'? What does that mean?
If you really want some answers you need to say more clearly what the problems are. And what has the Canary Islands got to do with it?
There are very few occasions where its legal to withhold rent, and this doesnt sound like one.