From memory, there are a few types of quests.

1. Kill X ammount of monster Y.

2. Kill monster X to get Z of item Y.

3. Kill monster X to get item Y.

4. Talk to person A, B, C, D, (it goes on).

5. Talk to Person A, B, C, D and do a dungeon.

In dungeons, there is a time limit, and a specified objective. Mostly you just kill all monsters. Anyways, once time runs out you lose the dungeon. Sometimes there are mazes, in which you pass easily. Also, sometimes dungeons contain "crystal seals", seals that protect the door. Kill these to proceed on.

Sometimes, quests ask you to call a specific rare monster. Usually they have + in their name. So far, the only ones I know from beta include hunting these 2.

Armaku+: Spawns near the Tower of Sages research camp. It's right on the <--- side if you face straight at the entrance.

Scorp Lug+: Spawns near north of the Bloody Ice town.

Highzard: Spawns near bugzards;usually on the little island.

Black Snake: Spawns near the puddle of water near Giant Snakes.

Upgrading.

The upgrading system is quite simple, really.

To upgrade, you MUST have a slotted item..

Anyways, after you talk to a Core Alchemist and click upgrade, there are 3 boxes. Item, Cabal Upgrade Cores, and Catalyst. The item area is for the slotted item you wish to upgrade. Upgrade cores, MUST have atleast one force core. The other 2 slots are free, but theres only one force core per slot. Each upgrade core, I believe ups the + stat of the item. Catalyst, is basically the same class of armor (where it is worn, and what kind) as the initial upgrade item with a slot as well. If you add it to your upgrade item, it yields better success rate, and extra stats. The higher level the quality of the same piece of equipment with a slot; the better the stat and success rate. You can only use 1 catalyst per upgrade.

Armor

There are 3 kinds of armor. They have their own stats.

Martial suit: High defense rate, low defense.

Battlesuit: Balanced between both evenly.

Armorsuit: High defense, low defense rate.

Defense is the counter act against attack;it lowers damage. Defense rate is evasion.