1. Yes TimeFactor can generate MIDI Clock which will send tempo to other MIDI devices.
2. Yes TimeFactor has 100 Preset slots so you could save one preset with 8th note delay and another with quarter note delay and switch between the two. You could also switch between these with an aux switch, and expression pedal, and with MIDI.
3. Yes you can always have two different delays with completely different settings, going simultaneously.