This is a good start! When you say olympic press, you are referring to the clean and press, right? I'd try to fit bench press in there and maybe some hyperextensions in also.
I think there is one key that needs to be stressed to people starting to work out: anything* is better than nothing. You may not see great gains by doing only 5x5 dumbbell curls every day, but you will start to generally feel better.
* With good form. Bad form will do more harm than good (I know from experience, having pulled a back muscle trying to speed through a warm-up set of squats). Having someone to give you form advice is another important aspect.
Olympic press meaning an overhead press with significant layback. Pressing with layback involves enough chest to get you balanced development. It's also better for posture, joint health, abdominal and posterior chain strength, and requires one less piece of equipment than the bench press. As long as layback comes from the hips it's perfectly safe for your back. Working on hip flexor mobility should get most people to the point where they can perform it properly fairly quick.
I think there is one key that needs to be stressed to people starting to work out: anything* is better than nothing. You may not see great gains by doing only 5x5 dumbbell curls every day, but you will start to generally feel better.
* With good form. Bad form will do more harm than good (I know from experience, having pulled a back muscle trying to speed through a warm-up set of squats). Having someone to give you form advice is another important aspect.