If your tip is ground down, yeah, you want to replace it. Also there is an great draw drill I use to use to help me practice draw shots. basically, take 6 balls, and place one in front of each pocket. Start with ball in hand, and make all 6 balls, but never let the cue ball hit the rail. If it hits, you lose and have to start over. When you get good enough that you can run it most of the time, switch it up and shoot the balls in a different order such as numerical or around the table, opposite corner to corner, etc. Enjoy.
Thanks for the advice. I like that drill, I shall try it out tonite if I get to the hall. I stopped by for just a couple of minutes last night and tried a few shots with a house cue, and did better than I had previously, so I'm encouraged. More practice!
I'm gonna see about getting a new tip soon, too. (Maybe a whole new cue! I deserve a treat.

Again, thank you and everyone else posting on this thread. It really does help!