Yes otr, you can easily melt and re-cast 14K gold into other objects and the objects will still be 14K gold as long as the items melted do not have soldered joints. Most class rings and wedding rings are made by solder free processes. Hand made jewelry, all chains, and most earrings will have soldered joints. The problem with the solder is that it can and will often cause pitting and imperfections if one attempts to cast new objects from such soldered pieces. Also, the solder is less than 14K so your finished pieces will not assay out to a full 14K. It would be a shame to go to all the work of spending the money for the necessary equipment and learning how to use it, making a wax model, melting your scrap, and ending up with a finished casting with pits and imperfections in it. This is why when you sell scrap that it does not command the same price as new metal. When scrap is sent to a refiner they need to refine it back to 24K and then make a new alloy in the desired karat for their customers. Most gold coins are 22K and are perfect for melting and casting high karat objects, but usually their numismatic value is higher than their gold content value. Many people ask me to make jewelry from old pieces they have, but the work and expense to do so makes it financially impractical. So if you have a lot of cast or stamped out rings you will be good to go, otherwise send your scrap to a refiner and get clean metal in the karat you wish back from them. If you do so just ask for "casting grain" in return, it is usually cheaper than bars and way cheaper than wire or sheet. Good luck with your endeavor, like I said making things is fun, and making things from precious metals is particularly rewarding, and it is a hobby that you can actually have pay you back for your investment in time and equipment over time.
You should contact Rusty Gold and see what he wants for his used equipment, he has everything you need, and this type of equipment is virtually built to last forever. You will not need the rolling mill to make cast items.