Hold the SHIFT key down when inserting the shape.
In most drawing and graphics software, holding down the shift key constrains a dragged box to a square. So, select a "draw rectangle" tool, then hold down the shift key while you click and drag yourself a square.
an L-square, a T-square, or a protractor
A protractor is used to draw a right angle of 90 degrees.
type tool, rectangle, line, crop, pick (select object), marquee tool, many, many color swatches, drop shadow tool, bevel and emboss, 3d and so on...
with corel draw you can output in all common formats
A compass is a geometric tool used to draw circles.
You'd use the Pen Tool to create the "swoosh" in question. Alternately, you could draw a rectangle which was as long as you needed the final art to be and then use the Direct Selection Tool and the Convert Anchor Point Tool to manipulate the points on the rectangle to arrive at the "swoosh" shape you have in mind. You could probably also use one of the Brush Tool variants to create a kind of freehand "swoosh" but I'd go the Pen Tool / Convert Anchor Point Tool route for greater accuracy.
star tool
Circle Tool.
There might be a specific tool for this, but what I do is separate a line into three equal parts and (with all three parts selected) stretch them from end to end of the rectangle. Then I make two more copies of the rectangle and just stretch them into place, using the width of the original triangle and the lengths of the lines as a reference.
A compass