Q1 : Digitakt can mix the line in signal while playing the sequence. You also can pan, add reverb,.delay and it go thru the master compressor.
When you sample, it sample in mono, without the FX applied ( it all fx sends, and compressor is just before master out)

Q2: Yes, you can listen every sample on your +drive, your sound bank and your sound pool while the sequencer is playing.

Q3: Yes, you can sample while the sequencer is playing, you can even set a number of bar to sample to make perfect loop. You have a basic sample editor where you can trim the start and end of the sample after record then you can save it and assign to a track.

Like someone else pointed out, the sample preview is played on the active track, so it good to keep a free track to listen your sample. If no sound is coming, 99% chance you have selected a midi track.

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