Undante, First, I wish you well. Horses are a blast! If I didn't think so, I never would have moved to where I keep them in the back yard, and I've owned horses since 1985.
Second, NOBODY here is being "negative" bc they enjoy throwing cold water on your plans. I usually agree with SlideStop but on the point of buying at auction, I don't recommend it. When I had a riding academy business, I bought a lot of horses at auction. I'd give the horse one month to fit into my program. If he didn't, he was sold.
People that purchase their first horse are going to get attached to whatever they buy, no matter how the wrong horse that they bought hurts them. We see it so often, and that is why people are warning you to be careful.
There was a time when the economy was good and where I live people couldn't find local buyers for their horses, so MANY good horses were sold at auction. I bought two of my favorite horses, "Corporal" (Arabian) and "Ro Go Bar" (QH), both 1982-2009, RIP, at the same auction house, and I owned them for over 20 years until they passed on. I also bought a piece of pretty crap, "Fancy Lee Bar"--no, my friend went to the auction with my DH and SHE picked out this lemon. I don't have time or room to go through all of the 30-some horses I've owned over the years.
NOW, we have the Internet and all of it's advertising advantages. Lot of really bad and dangerous horses now go for sale at auctions, and they are all full of problems that YOU, OP, won't know how to fix.
Third, like Beau said, save up more$. It is and WILL be a Buyer's market for a long time. With no horse slaughter in the US, the few good horses (people don't have a job and have to sell them), the dangerous horses, the crippled horses, the old, unwanted horses are ALL out there for sale. It's a sea of unwanted animals.
Third, YOU, IMHO, really want to research your first horse. I wouldn't settle on the ones that you have listed. I would have a list of 20 horses that I am interested in. Just find someone who is willing to trailer the horse home for you, and include that$ in your horse purchase.
Good horses are out there. Just watched a Julie Goodnight program, taped last winter, and there was the owner of a Trekkaner (sp?-sorry) who needed to get her good horse to relax. A simple exercise, with good coaching fixed that problem. THIS is a good fit for you, too. The owner could have just as easily given up on a good horse and sold it, and THIS happens today bc we have a Federal Government who has shrunk our available jobs and our incomes. Lousy economy, less ability to own a horse. That should be good news for you.
I would shop for a horse as if I was shopping for a mate.
Really, we all just don't want to hear how your first horse threw you and cracked your ribs.