Would like to help but without a model number there is no way we can check if that TV even has those controls. I would suggest you check the owners manual and see if there are any controls on the set. Google will help with that if you don't have a hard copy.
If one believes the manual, your TV has only Power button, so you'll definitely need a remote - either original one (check sites like yBay), or a "universal" one supporting your TV. Logitech remotes can be programmed, and have extensive database for various components, so that might be your best choice. Yes, I know - $40 remote for $100 TV is strange, but you can keep it for your next purchase.