User Manual Keurig K60 Special Edition & Signature Brewers

Yes, and if the size of the travel cup is 5 and 3/4" or less, you can leave the bottom tray in.

Not sure but I would empty the reservoir and then try to pick up the unit and tip upside down to get any extra water out.

It's a small mesh covered charcoal filter that fits very easily at the bottom of the water reservoir. You're supposed to change it every 2-3 mos. We haven't done done so yet because it's brand new.

You can fit a travel mug underneath at an angle, but otherwise, they don't fit.

You can use tap water with the filter

Yes, yes you can. There is a menu setting on the Keurig that lets you set it up at a specific time you want it to be on so right before you wake up you get your cup of coffee in the morning.