You're going to have to do the Dragon Tower to get most of the stuff. I was going to copy a section of a walkthrough to explain what to do, but it was lengthier than I remembered. However, there are one or two pieces you can get in Southwest Salonia before the Tower. Here's that paragraph (sorry about the formatting):

Southwest Salon's where it's at. Enter and go straight up.
Talk to that guy you see just across that bridge. He'll tell you to
go into the bar. Do what he says- it's a trap, but a pathetic one
so you've nothing to worry about. Some dudes seem to be making life
kinda difficult for some kid. Go to save him from future torture.
Some GoldKnights will confront you. Kick their asses. The kid's
gonna follow you around. Prince Allus (the kid you just saved) was
banished from the castle for some reason. Leave the pub and cross
the bridge left and head into the water. Go down to the unmarked
house you see, and get down to the lower left corner of the town.
Talk to the man to receive a WIND JAVELIN. Head back on up, go into
the water and make your way due east to that guy an the island.
He'll give you a DRAGON ARMOR when spoken to. It should also be
noted that there's a free Fat Chocobo for you in lower right house
here. In that room, go through the left indentation to find several
CARROTS within chests. Now leave the town.

If you want the Dragon Tower section, let me know and I will post it. I didn't want to do it here because it is kinda long.