for Q2, yes, normal cheque, write her name, do not cross, cross out bearer, ask her to bring ID card to your bank to take money, she will have to sign on the back before the teller
for Q1, no need to pay. Agent requested the maid to sign me a letter for applying 2 days no-paid leave. Those 2 days are for ID application. I only start paying my maid when she arrived my home.