Must be a strange form of normal departure were the FO starts calling speed (because your too slow?) and the EGPWS starts calling "don't sink" because you are descending on takeoff.
C100, I'd be a little careful reading too much into the calls made...the speed call may have been made with reference to the commanded speed, but may or may not have had any safety implication, with respect to the EGPWS alert, there are plenty of terrain constrained airports around that will give you the exact same warning...again with no implicit safety concerns.
The point being, we have no terms of reference nor access to the company briefing material, lastly and most importantly the F/O from what I have read, felt that there was no major issue here.