Hello, I wanted to point out 1 thing.

You DO NOT want to upgrade the chest first. Upgrading the Wyrm's mail(mythology) to the Weathered Astrum mail (soldierly) is a very very bad idea.

It might be hard to believe at first, but it's actually a downgrade.

Weathered Astrum mail will give you +5 strength over wyrm's mail. However, Wyrm's mail has 24 determination which converts to roughly almost +8 str.
and you already have way too much accuracy at this time.

So by getting the soldierly chest, you are losing 3str and 24 crit for 38 accuracy that you do not need and 26 speed that you do not want.

I would recommend getting ring, boots and legs first.

Gloves are nice too but high allagan gloves drop in turn 6 and it drops quite often (every other week in my group).

After that I would save the tomes for weathered weapon.