Yes, it's fully possible. Depending on what you want to do with your logo, you could possibly get away with making it just a picture file (jpeg, gif), and TD can use it for a background. As for the messages, that's also possible. Some questions as far as that go is (a) how long do you want each message up for? (b)How frequently do they change?
Side note - do you have buy in info (as well as rebuy/add-on, if your allowing for them) set up? Do you have prizes configured, or are you just awarding points? Prior experience shows that if you can get it set up before hand, it'll make it easier come time to run the tourney. Also for when you have time: play around. It's how I learned a lot of what I know. Also, don't feel afraid to ask questions here.
Admittedly, I started off with just the basic blue/green layout. In the year I've been using TD, I've added screens, buttons to automate screens, set up leagues and seasons... There's really not much limit as to what TD can do. I know Timmer, Stumar, and JodyBingo (as well as the mastermind himself, CoreyCooper) are all very knowledgeable as well, and probably would be better able to set up the events easier than what I could, especially since it sounds like there's conditions that you'll need.