Bows are very personal tools. You may get 20 different responses from 20 people, but what I will recommend is a peep that is 1/4". That's one of the larger sizes available, but during late and early hours it makes shots possible that smaller peeps don't. I can shoot accurately out beyond 50 yards with that size peep, so accuracy doesnt suffer much.
Sights should have enough pins to cover all the distances you may potentially need to utilize in any scenario. I like a 5-pin sight but I never hunt over 60 yards. Some of the guys out West use seven pins because they routinely need to take shots that are longer than any I need to take. Look for metal construction and pins that protect the fiberoptic strands from breaking should you drag the bow through brush. I also like an aluminum pinguard (the curcular ring around the pins). Remember that the more fiberoptic length the pin has, the better you will be able to see in low-light conditions. Be aware that "toolless" translates to "may accidentally change your pin settings in the field". Once you get the pins set you will not want to change them often.
I use the S-Coil stabilizer from Sims ($20) and it works very well.
Try any release you are considering. Load it on a bowstring without looking - you will need to do that while hunting, so be sure the release will allow you to hook up without too much fumbling. Try the feel of the trigger: some have a hair-trigger with no travel

and some are sloppy and require more pressure

.
For an arrow rest, it's hard to beat the simplicity and ease of use of a Whisker Biscuit rest. It will not allow the arrow to fall off accidentally, and with arrows that have a slick surface (I only use Cabelas Stalker Extremes) there is no noise when drawing back. I have hunted with one for seven years and love it.
Good luck with your bow and getting it set up. Archery is as addictive as kayaking and you will enjoy it. It is intense and the difficulty makes any kill one you can be proud of. Hunting with a bow is easily my first choice for any game (except maybe ducks

).