1/ Crosswinds T/O are NOT the same in a CUB and a 737. On a CUB you should decrease input during T/O roll on the B737 you have to increase control input during the roll.
The only correct answer is in the FCTM, only the part 'as needed' is something you learn with experience. (indeed on a B737, speed=0, control wheel and rudder input needed=0)
Set and forget? Tell me how do you know the exact amount to be set before you started the T/O roll.
2/ 250Kts below 10.000. Check airspace class qualifications (by the way,the non-busy clear skies are often lower than class C). And yes, the reason is NOT birds.
(Anyway, most birds are now informed not to fly in controlled airspace without clc and Tx)
The ETA does change one or two minutes, that is if you also delete all other speed restrictions on the arrival, which occur sometimes above 10.000feet.