hmmmmm, legs and back together IMO is a bad idea, both are bigger body parts and shouldnt be worked together, but again just MO. Also, starting with arms isnt great as you need your biceps and triceps for your bigger body parts, chest, back, shoulders - you should hit up the arms later in the week perhaps so that you get better lifts where needed. Try something like:
Chest / Triceps
Back / Traps
Legs / Calves
Shoulders / Biceps
Put a rest day in there somewhere though, and after the split take 2 days off for good recovery
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