Boy, where to start! This does not seem like a good idea for many reasons. First, living in an apartment building is a fine idea but why buy the building across country before you move there and know the area well? If you haven't already, talk to everyone you can in that area and get learned up about the rental market. The current property manager may not be sharing the full story.
I suggest moving first and renting until you get a feel for whether you truly like it or not, and then you buy. $500 for a unit isn't much, even in a rural area, and there may not be much potential to increase rent in the future. Will that rent produce enough money long term to meet your needs, including repairs to the property? Are you sure you want to be living in the building with 5 units occupied by your tenants? Are you sure they are going to be the sort of people you want to be around all the time? It's easy to say you aren't fancy and get along with all sorts of people, but what if the tenants are trashy, drinking too much, using drugs, etc? You need to consider worst case and be prepared for how you would handle that.
but you didn't really ask for those thoughts so to respond to your questions
With 6 units you would need to get a commercial loan - or a loan from the seller
You would likely need more than 10% down unless you get a loan from the seller, in which case anything is possible
Holding property in an LLC is not necessary, is not always the hassle and expense, and does not always eliminate personal risk. There is plenty of info about this online.