Drywall damage is a real eye sore. However, if the hole is relatively small, it can be repaired fairly easily and quickly and you won't have to replace the entire surface.
Adding new drywall is a necessary step for most renovations. Learn how to finish drywall by taping and mudding seams between adjacent sheets with joint compound. Doing it right reduces the amount of sanding needed for a smooth finished wall.
A partition wall adds a whole new dimension to your basement, creating new rooms and making the space more comfortable to live in. A well-built frame is the key. It's relatively easy to do with the right tools and some basic know-how.