<human>: Two problems, one is way bigger than the other:

I have to leave on a business trip this Monday.  I got a job offer yesterday.  My start date is set two weeks from now.

I need to give two weeks notice, but I find it in bad taste to land at the headquarters and announce that I'm leaving.  These sort of business trips are far and few between.

I think I should contact my superiors during the weekend and let them know what I'm planning.  What do you think?

Second problem: I got my job offer letter, but nowhere does it mention number of paid vacation days.  They have sent a ton of other details about 401k, medical benefits, etc.  Is it proper to email them and ask them what I should expect?  Is it common to try to negotiate the number of days?  This is for a large corporation.

Give me a shortened version of the text
<bot>: (1) Got a job offer, but I'm flying to headquarters on current company's dime. (2) Want to sign job offer, but I don't know # of paid days off