First town in FFIV is Baron. You had to grind to survive in the mist cave?
Wat?
I can't take you seriously. You might have spent hours running laps around Baron, but you really wouldn't have had to. Your estimation of survival chances is ...I don't even know how you factored that.
I can only conclude that you're just very bad at battle management and...leave you to it? Yeah. Definitely going to leave you to it.
Edit: Buy potions. Use them. They make the mist dragon fight super easy.
Edit 2: I still have my original SNES cartridge of FF2, from waaaay back when, before I knew it was actually 4! Lovely game. I was rather impressed with the PSP remake, though the After Years pseudo-sequel...eh. It missed something. Wouldn't you agree, mon peche?