If your phone does not have the battery in it, then no you can't track it because there is no power going to the board in your phone and to the little tracking device on the board that allows you to track it. Check the last place you were at.
Email and skype, ok that is pretty simple. Along with being fast. So I recommend pretty much any computer you can buy at your local store, just make sure the computer has 4-6 gigs of ram. Other than that, the store wont sell anything with parts that are on the low end for that type of work. I...
What type of things will you doing on your computer? Also, describe how you are disabled, so I know how to best go about getting you an appropriate laptop choice. I am kinda disabled my self so I know what you are going through. I have a hearing loss in both ears.