It's not bad, but overcomplicated in my opinion. I would ditch the following (assuming you're not already a significantly strong person): dumbbell bench (normal bench will be fine), Romanian deads (which is what I assume you mean by 'standing deadlift' since a normal deadlift is standing), tricep isolation moves (overhead and bench pressing will be fine for this purpose), lunges (squats, again, will suit this purpose fine).
Also I would have the compound movements at the start (shoulder press) and also do the press and bench before squatting and deadlifting always, because a really heavy pushing movement won't fatigue you so much that you can't squat effectively, but the reverse is not always true. Also I wouldn't curl and chin on the same day.
So I would offer this revised version:
So I would alternate the bench and press each workout, meaning next week would be press/bench/press from monday to friday, then back to the above. Same for curls and chins.