1) Respelled as Db Eb F G Ab Bb C Db. This is (from the Western perspective) lydian mode. 4 flats in Db.
2) C# D E F# G# A B C#. This is phrygian mode. 3 sharps.
3) There is no Western equivalent to this mode and no key signature is really going to describe it. You could write it in 7 sharps and use naturals for the D and A perhaps.
4) Respelled as C# D# E# F# G# A# B# C#. Yes that's the major. 7 sharps. Or Db major, 5 flats would work also.
5) C# D# E F# G# A# B C#. This is dorian mode. 5 sharps.
6) C# D# E F# G# A B C#. Yes, that's minor. 4 sharps.
7) Respelled as C# D# E# F# G# A# B C#. Mixolydian mode. 6 sharps.
8, 9, 10) Like 3 these scales aren't of European origin and don't really fit any key signature so you will have to make do with accidentals.