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I want to make sure I'm doing this and have the correct equations..

For part a)

Okay, so escape speed is found using the equation

v=sqrt(2GM/r)

G=6.67 x 10^-11

M=1.07 × 10^23

r=2.4 x 10^6

v=sqrt(1.427 x 10^13/2.4 x 10^6)

v=srt(5947416.667)

v=2438.73 m/s

For part b)

v=sqrt(2GM/r)

G=6.67 x 10^-11

M=2(1.9891 ×10^30) = 3.9782 x 10^30

r=6000

v=sqrt(5.301 x 10^20/6000)

v=sqrt(8.845 x 10^16)

v=297403171.9 m/s