Analysis of chess 960

hi all, when I go to to the analysis page of a chess960 game, the castling move of the king is not always permitted
thanks

This would be solved if the "King over rook" method is implemented for the analysis board.

I play now a correspondence chess960 game, and when I'm analyzing it , there is a line where I check the king and the castling is allowed to him ! is this a big or a rule in chess960 (which is far as I know it's not allowed ro castle when in check), please some one answer me quickly because the fate of that game depending on that,,thanks

Furthermore, the lichess engine forbids chess960 castling in certain situations when it should be legal.

say the rook is starting at a1, and the king at b1. If all necessary spaces are open, but d1 is threatened, lichess will not allow the castle, despite the fact that the king does not move through check.