Question regarding the relationship between GR and SR

I was wondering what would happen in the following (hypothetical)
scenario:

Say there is an extremely massive planet with person A on it and
person B is in a spaceship outside of its gravity field. (The planet
has no atmosphere and it isn't spinning.)

The planet is so massive that A's time-rate is twice as slow from B's
frame; and B's time-rate is twice as fast from A's frame.

Now say A wanted to leave the planet.

Would his escape velocity be 0.87c, where gamma=2 according to SR?

And if B nudged his ship into the gravity field and it went into free
fall, would its velocity, relative to the surface, be 0.87c just
before it smashed into it?

count zero

.

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