[Maria Maronska] "1. Is it possible to un-parent one layer from another in a specific keyframe? I can only see possibility to add or delete parent forever"
No.
Split the layer where you want the parenting to end. Leave the first one parented, but turn off parenting in the second one.
[Maria Maronska] "2. Is it possible to remove an expression in a specific keyframe? I reviewed some tutorials and they only specify how to add an expression, e.g. alt-click on clock of Rotation, then type loopOut("cycle"), in order to make a rotation loop. But I would like to stop this rotation looping at frame X. If I just go to frame X and insert a keyframe in Rotation, then the whole loop disappears. How to deal with it?"
See the Adobe help here for an example of adding start and stop times to expressions:
http://help.adobe.com/en_US/aftereffects/cs/using/WS22BD9B45-A813-4b13-996D...
Walter Soyka
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