Well, usually you have 7 days before your base will decay.
But it depends on how big the base is, a 4x4 will decay faster than a 6x6 etc.
With 7 days the max amount of time you can go without logging it to refresh
However sometimes like during holidays this time is increased to two weeks.
You can check the timer with a repair hammer, just equip it and hover over part of a building.
The second question is complicated, your character stays in the world even if you’re logged out.
it just looks like you’re unconscious to other players, and if you’re playing on a PVP server other players can and will rob and or kill you and leave you naked.
Also if you’re in an area where weather is a factor, your character can die from heat or cold.
We need more information to guess exactly what happened, did you log in at the desert? or near a bed or bed roll? then your character probably died while you were off line.
Check your event log located under “server” when you hit the esc key. it will tell you what happened.
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