The sore shins are probably the thing that will put you off the most - it's likely that you're wearing bad trainers or have running style that could do with a bit of perfecting. If you haven't already done so, go to a specialist running shop and they should watch you run on a treadmill and prescribe trainers that perfectly suit your running style. Admittedly, this is an expensive exercise if you're not sure you're going to commit to running (good trainers can be £70-£100) but if you keep running and hurting your shins, you can do some serious damage. You could also ask them if they can spot any obvious problems with your running style.
As for the sweating - that's brilliant. It means you're doing your body a good 'detox' and working hard. And things won't wobble for long if you keep running, combine it with other exercises and try and eat healthily.
I subscribe to Runner's World magazine, which is surprisingly beginner-friendly. You can log-in to their chat rooms and talk to fellow runners about problems/advice for good running routes. You could even meet local people to run with as running alone can be so boring and easy to give up on. They list loads of races, many of which are suitable for beginners and give you a great incentive to train for.
Don't give up just yet - you will reach a point where suddenly running becomes easy, because your body gets used to the motion and the pace that you're going at. Then when it gets easy, you raise you're game and move on to the next level.
Next time you run, chose a scenic route and look around you at the things you've never noticed before. It's a wonderful distraction from the tiredness and a great opportunity to see things in your area that the car will never let you see.
Enjoy and remember how good you will look in a year if you keep it up!