There's a little ball to the right of your main window when you mouse over says 'display shadows' Turn that off. Also if you double click on a part (or select the part and go to the objects menu then properties) you get a properties dialog box. Uncheck cast shadows. This will enable you to turn off shadows for just individual parts. You need to do this with each segment of a figure such as arm, chest etc. To keep the hat on you need to double click the hat and then select 'set parent', find on the list that pops up the head of your figure and select it. Usually figure one head. The hat will then follow the movements of the head.

"Your work is to keep cranking the flywheel that turns the gears that spin the belt in the engine of belief that keeps you and your desk in midair."

Annie Dillard