Ptolemy's Theorem and Cyclic Quadrilaterals

In need of some help for 3 problems that I can't seem to understand. I would greatly appreciate some help.

Point P on side AB of a right Triangle, ABC, is placed so that BP = PA = 2. Point Q is on hypotenuse AC such that PQ is perpendicular to AC. If CB = 3 what is the measure of BQ?

What is the area of quadrilateral CBPQ?

As P is translated from B to A along BA, find the range of values of BQ, where PQ remains perpendicular to CA.

I don't understand the part where you translate P along BA at all. I can't seem to even draw the diagram correctly for the quadrilateral. I am also having a hard time drawing the diagram to even solve the first part, I just know the pyhgreoen theorem might help out. Thank you so much for the help.