Hi there & welcome to TID! I like your schedule! If you're just getting started, I would adjust your weights & reps accordingly. Personally I like doing pyramid lifts instead of setting one weight and repping it for 3 sets. Depending on my "top" rep count for whatever exercise, If I can hit that for a clean set, I will increase the weight & go for say 8 clean reps if my max is 15. If I can't, I will lower the weight until I can do e.g. 12-15 clean reps. If I'm at a weight that is a strong working set, where I can do a strong say 10 reps of 12-15, I will stay at that until I can increase it up to 12.
Another suggestion I would, particularly as a newcomer, include is a good warmup before training, particularly on upper body days, because it is very easy to start experiencing repetitive motion issues in the smaller joints/ltendons/ligaments over time. Typically the first place you'll notice pain is in your rotator, wrist, forearm or elbow. You can google for youtube videos of good shoulder warmups if you are interested. For a great general recommendation for a warmup I point people to Joe Defranco's "Agile 8", or the updated version: "Limber 11" - these are great for overall mobility / flexibility warmups:
http://www.diystrengthtraining.com/...ups-to-avoid-injuries-agile-8-and-simple-six/
Over time w/ training, and particularly as you start heading towards your 40's, stuff just doesn't work the way it used to and all your little joints will start to tighten up as your ability to recovery reduces. THis is an excellent habit to get into as part of your training day in general. Over time the effort will reward you!