Most people use one scale to determine their weight. Pick one, use it. Whether you go to your doctor every two weeks to weigh-in or you use your own scale once a week to weigh-in. Don't worry about the 5 lb difference. If you begin at 275 on one & 280 on the other and the scale at one says 265, and the other says 270, you've still lost 10 lbs.

I suggest the one at home, only because you can get on it buck-naked in the morning (when we all usually weight the least).
You don't have to join a gym to be healthy. If you're in farm country, well, that sounds like the perfect place to go for a loooong walk! Or to buy a video to do a home exercise routine on!

I'd suggest getting your license as then you can go to the grocery store when you want to find healthier foods, but you can always go along with your parents (in fact, you should!) so you can tell them about what you're trying to do, and maybe help them pick up a few more fruits/veggies/lean meats etc.
I get pretty depressed about my weight sometimes but never really had the support or resources to successfully lose weight. I have always been overweight and live in a family that is overall big. Like the countless number of other people out there, I got ridiculed and laughed at for it in school and everything else. I once lost about 30 pounds because I had lost my appetite when I was ill. Even after I felt better I laid off on foods that had tasted bad when i was sick and lost weight. After this unexpected but exciting and delightful amount of weight loss, I could fit in size 18 pants for the first time in several years.
I frequently got depressed about my weight my entire life... I just watched it go up and "wished" I could do something about it. Well, that sometime you speak of is now. Decide to be
healthier now. It doesn't mean you need to be a fitness guru, but that you can do small things every day that will help you further along down this road. Like drinking enough water, eating enough fruits & vegetables, taking short walks. Little things! But oh how they add up. Start today (or the rest of the day if you're reading this at noon or so) with one thing you will do that will improve your health. One thing. Then do it. Drink your water all day today. Then tomorrow do it again. That's it. When you're confident that you've got a pretty good handle on one small thing, then add in another. And work on those 2 small things. You may be working on adding in small things for a few weeks, but you WILL
feel better for having done them.
A year ago I saw myself in a similar boat. I didn't know anything about nutrition or fitness... but slowly I learned. And slowly I applied those lessons to my life.
One last habit suggestion. Take a notebook with you for a few days and simply write down everything you eat. No need to change it yet. Just to look over the pattern of what you're eating already. Maybe then if you post it here, we'll all be able to give you suggestions on what to improve lightly.
Know this, though: YOU CAN DO THIS!
There's nothing in your way that cannot be worked around and triumphed over. Life goes on, but we can't let that be the excuse we use for not losing weight. Because then life passes us by.
Best of success!!! We're all here for you!!!