When someone asks to be "given a minute" it means they want you to wait for a short time while they finish some task, think about something, compose themselves, or do something, before turning to whatever you are asking of them.
Give me a second/moment/minute
Yes, it does. There is a link on their website that says "last minute deals". Click it and fill in your travel information and they will give you rates to compare.
it means they don't like you anymore..
I understand you sir, however if you will give me your minute or two i'm sure you will say oh, i did not know that you can do that!
he's probably doing something he doesn't want you to know or be there.
slurpee
just an excuse
You need to give her a little space. Just because she is your girlfriend doesn't mean she wants to live and breathe you every minute of every day. She needs friends and other interests too.
it means 'help me!'
That he's cheated!
update
Give him him a hug, it helps everybody. :)