Yes.
Yes, they can tessellate provided they are suitably matched.
yes
A square, rectangle, rhombus, parallelogram, trapezium, kite and arrowhead will tessellate. Other quadrilaterals will not.
If their shapes are suitably matched they can tessellate together.
A square will tessellate leaving no gaps or overlaps but a circle does not tessellate.
No but a square will tessellate on its own.
No, but an octagon and a square can tessellate.
Yes.
Yes, it will.
No, a square and a pentagon cannot tessellate together. In order for two shapes to tessellate, their angles must add up to a multiple of 360 degrees. A square has angles of 90 degrees, while a regular pentagon has angles of 108 degrees. Since 90 and 108 do not add up to a multiple of 360, these shapes cannot tessellate together.
No.