Coins You get coins from beating dungeons or selling unneeded monsters. You will get one every time you clear a dungeon for the first time. Magic Stones The currency from IAP (In-App Purchases, a.k.a. You can also refill stamina by spending 1 Magic Stone. Your stamina will refill every time you level up in Rank. Every 3 minutes, you will recover 1 point of stamina. Stamina It takes different amounts of stamina to enter different dungeons. You can see how much EXP you need to level up by touching the upper part of the menu screen. You'll get EXP from beating dungeons, and enough EXP will level up your Rank.
It does not directly affect your team's performance in battle. It only affects your Stamina, Team Cost, and Friend Count.