1) The straight line up the side is a purge. This is just to get the extruded primed and remove any dangling filament. I believe this is added by default in your slicer, Cura has it in the default pre-print g-code.
2) That shape is difficult to print without supports. Are we looking at the bottom of it?
3) The shape is too tall on too small a base, enable a brim to print a wider, thin area of plastic around the base to hold it down. The brim will have to be torn off (or cut). Also, enabling the supports as per (2) will help to stabilize the print.