1. For a frigate (~100m long) that won't launch SM-2, can you get away with just SPY-1 and SPQ-9B? (Obviously not including nav radar)
When is she being designed and built as that would change the electronics fit [A ship being designed in 1995 would be different than one from 2010]. I'd find it hard to justify the inclusion of SPY-1 on a 100 meter hull. The Nansens are about 135 meters long, and they are about as small of a platform as you probably should go for AEGIS.
2. More related to shipbucket, how does one go about drawing a towed array sonar deployed from a stern door?
Generally if the door would show up on a side view, then you show it, otherwise there are no standard displays.
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