Welcome to Android Central! One way to approach this is to create a homescreen folder full of Direct Dial widgets for your favorite contacts. It's like having a folder full of speed dial contacts. Just tap the Direct Dial widget for a particular contact, and it will immediately dial the number you associated with that widget when you created it.
Re: your second question, check the Settings>Accessibility menu or the Gestures menu to see if there is anything that allows you to turn off the screen with a hand gesture. Otherwise, you could install a 3rd party app like
Double Tap To Screen Off.