Yes. 

I have not looked for a specific travel case, but unless you are being really rough with it I would say a padded envelope or a generic small case would do it. It's pretty sturdy. I take it to to the office sometimes and just put it in one of the pockets of my laptop case. Also, for extra protection against scratches I never removed the clear plastic film that comes over the screen. Except for the red ""pull here"" tab, you can't tell it's there. 

You will see data from the outside sensor on your console. Look for rain, wind speed, wind direction, UV strength, temperature etc 

The display console unit can run on batteries only. However, without the a/c power cable, the display only stays on for seven seconds, and to get the display to come on, one has to press a button on the display console. Also, when running on batteries only, the unit will not maintain a wifi connection, so it won't reliably upload weather data to WeatherUnderground or other weather networks. 

with your TV and DVDThe same as the player, just ordinary household current. If you travel to Europe, you can take the charger with you, you just need to buy a plug adapter …There are different wall plugs in Europe.