Whether to use more layers for analogue has nothing to do with signal speed and everything to do with signal integrity.
These days multi layers are more common.
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Depends on how well you want the board to work... If you go with 2 layers then try and get all the signals on the top layer and keep the bottom layer as clean as possible for a contiguous ground plane.
How big are the components i.e. what area do they cover because you do not want to spread them out, this will create larger signal loop areas making the design more susceptible to noise pick up cross talk etc., especially with no ground plane. One of the main advantages of a ground plane is it minimises the signals loop area.