Welcome to he forum.

Question 1:
Something like

random randomnum1
dice1num = (randomnum1//6)+1


Question 2:
More than I have done with LEDs but try this post to get going..

http://www.picbasic.co.uk/forum/showthread.php?t=6601

Sounds like fun - post some pics or a vid if you pull it off.

Good luck,

Paul