Find the perpendicular distance from the point $P(2, 3)$ to the line $3x - 4y + 1 = 0$, and find the distance between the parallel lines $3x - 4y + 1 = 0$ and $3x - 4y - 9 = 0$.

Find the equations of the bisectors of the angles between the lines $3x + 4y - 12 = 0$ and $5x - 12y + 26 = 0$, and identify which one bisects the acute angle.

Find the angle between the lines $2x - y + 3 = 0$ and $x - 3y + 2 = 0$. Also find the equations of lines passing through $(1, 2)$ making an angle of $45^\circ$ with the line $2x - y + 3 = 0$.