That weight at 52# will get the job done on deer. If you are concerned about penetration, switch from the Woodsman to a two blade (Zwickey, Magnus, Bear, etc.), though the Woodsman will probably work as well.
My first deer was shot at 15 yards with a similar setup: 29" Carbon Express Terminator Hunter 4560, 125 grain Snuffer, 5" parabolic, three fletch from my 55# Mahaska longbow. I don't know the weight, but it couldn't have been more than about 550 grains. That was before I knew anything about spine, grains per pound, tuning, etc. I bought the arrows at Fleet Farm (precut)peeled off the vanes and fletched with feathers. The 4560 seemed like the right thing for my 55# bow. Thankfully, my bow was cut to center because those things are stiff as posts!
The arrow went through both lungs and buried 4" into the ground on the other side.
The bottom line is those will work and shouldn't hurt your bow, but they are not ideal. The bow will be louder, and as Richie insinuated, they won't penetrate as well as heavier arrows. If they shoot well and you can hit the spot, a deer won't get any deader with something else.