The "very good" property for smooth complex equidimensional algebraic stacks was introduced by Beilinson and Drinfeld in their paper "The Quantization of Hitchin's Integrable System and Hecke Eigensheaves". They proved that for a semisimple complex group G, the moduli stack of G-bundles over a smooth complex projective curve X is "very good" as long as X has genus g > 1. For g = 0, this is no longer the case. However, it is sometimes possible to extend their result to the projective line by introducing additional parabolic structure at a collection of marked points. We will give a sufficient condition for the moduli stack of parabolic vector bundles over the projective line to be "very good" and examine the implications this has for the space of solutions to the Deligne-Simpson problem. If time permits, we will also look at the relationship between certain quiver representations, parabolic bundles, and solutions to the Deligne-Simpson problem.