It should do all those things without any problems...though you may want to move the round bales using a 3PH bale spear. I'm not aware of how much a 5x5 bale weighs, but if it's much over 800 lbs., you'll want some ballast in the back even if your tires are filled. A bale that's already on the 3PH spear would probably be plenty of ballast for a second bale being carried on a loader spear.
BTW, Welcome to TBN!
Bob