Reddit reviews Esbit Ultralight Folding Pocket Stove with Solid Fuel Tablets

First Aid Kit - you might not need it ever, but you should always have it. All kits are different but there are fundamental items that should be carried, you can check out the NOLS Kits
and either buy one or for less, make your own that is custom to your needs and desires.

Tools - First, carry a knife that can cut decent size branches, again, you might not need it but its good to have. Second, I recommend getting a water filter such as a Sawyer mini or Katadyn Be Free as they are both lightweight and will probably decrease your pack weight if you hike near water. Third, Fire can be helpful in many situations but must be used carefully and with respect. If you live somewhere that allows it, a wood burning camp stove will be worth some warmth and also allow you to cook if you bring along a mess set. I personally use an MSR Pocket Rocket. As a day hiker, you might not use a stove often but it's not bad to have if you do longer hikes or are far from civilization so if that's the case, look into tablet stoves. generally, you should have a lighter or two just in case. You may also consider carrying a survival blanket just in case (as goes for most these objects).

The Front Pouch - So the idea behind having this pouch is to have things that you want quick access too on the trail, the most important of which is your map. Navigation is important when hiking so if you're not familiar with an area buy a map and bring a compass. I personally don't use a compass but I've learned how to navigate without one, however you should always have a map. You may also need to have a permit for some hiking areas and it's nice to have within reach, usually with your map. you may also like to have TP and a camp trowel in there so that it is not hard to find at the wrong moment. along with that, a trash bag of any kind should be carried. Finally, carry snacks in there so that you don't have to dig around to find them.

Summary - This is all advice from a Backpacker so there will be many things you don't need on every hike but could save your life if you get caught in a bad situation, many of the objects I recommend are the same. If I'm close to home or not going out too far on a day hike, I usually carry a Knife, Be Free Filter, Lighter/Stove (depending on mileage) an extra coat, and extra food, but each hike and hiker are different. You will eventually find a system that works well for you, but it's always good to carry things that make life on the trail easier and can get you through a night in the wild. With thought on my comment, you should also check out the Ten Essentials as they will almost always be worth their weight.

If you have any other questions feel free to ask!