awesome!
i would still do some work for your lower body though. Maybe not a heavy routine now, but some basic squats and deadlifts should send you in the right direction.
I agree with the others, compound moves are best. it is best to split up your training in a 3 days per week schedule.
imo you don't need to do isolation moves a whole lot now as you are starting out.....you hit biceps with back for example, and triceps with chest. you can get good gains off of the compound moves.
i'd split it up into something like this (implementing some advice already given too)- basically working legs, back, and then chest.
Monday
Squats
Deadlifts
Calf Raises
laying or seated leg curls (for hamstrings)
Wednesday
Pullups or pulldowns (depending on strength)
Barbell/Dumbell rows ( i would do them bent over, light weight to start)
Seated/ Standing dumbell shoulder presses
Crunches
Friday
Flat Bench press
Incline bench press or flies
Dips (if they are too heavy with bw, try a dip assisted machine)
you could also add a few isolation exercises if you wanted (since you are starting out i would follow a routine for 8-12 weeks and stick with it) for example seated dumbell curls, laying barbell/dumbell skullcrushers, shrugs. But don't feel you have to do these exercises in the beginning, compound moves are more important for beginners.
Do the first 3 workouts with very light weight, to get the feel and then move up from there, using weight you can handle with proper form- feel the muscles contracting, don't try to bang around weights too heavy.