Statement I: True. Raga Bhairav has a distinctive andolan (oscillation) on komal Rishabh and komal Dhaivat.
Statement II: True. Its Jati is Audav-Shadav — five notes in ascent, six in descent.
Statement III: False. Chaugun means 4 times speed; for Jhaptala, chaugun fills the full tala of 10 beats, not 2.5 beats.
Statement IV: False. Malkauns omits Re and Pa, so it does not use all shuddha swaras.