I’m going to list what skills I have and use and in what situation I use them.

Buffs:

Hardness lvl 20: Free def.
Force increase lvl 20: HP and MP
Regeneration lvl 4: minor HP regen buff, but it’s better than nothing.
High regeneration lvl 20: Short duration buff that increases HP regen by 70 every 2 seconds.
Mass restore lvl 20: Pt buff that casts HP regen on all pt members that are nearby.
Spirit intension lvl 20: Pt buff that increases crit rate/damage resistance.
Art of force control lvl 20: Increase amp for a short time.
Raise spirit lvl 20: Increases SP regen.

Debuffs:
Weaken lvl 20: decreases attack on target.

Movement skills:

Dash lvl 9: move forward
Blink lvl 9: move forward
Fade step lvl 9: move backwards while being detargetted by opponent.

Attack skills:

Space collapse lvl 12 : stun
Extreme dual cannon lvl 9: stun + DoT
Arctic field lvl 12: stun
Energy field lvl 18: stun
Hailstorm lvl 20: knock down
Vacuum lvl 20: knock down
Lightning cannon lvl 20: knock back
Stone cannon lvl 20: knock back
Fire cannon lvl 20: knock back
Aqua cannon lvl 20 : knock back
Terra lance lvl 20 : knock down
Fire lance lvl 20 : knock down
Aqua lance lvl 20 : knock down
Freezing lance lvl 20 : knock down

Combo :

AoE PvE stunlock :
Extreme dual cannon > Space collapse > Arctic field > Energy field

Single target PvE:
Extreme dual cannon > stone cannon > terra lance > fire cannon > fire lance

Single target PvE with more knock back:
Extreme dual cannon > stone cannon > fire cannon > aqua cannon > terra lance

PvP:
Terra lance > fire lance > aqua lance > freezing lance > comp or GM
Something like the above with more cannons and end with comp/GM.
T lance > stone cannon > f lance > fire cannon > aqua lance > comp/gm might work as well.

General rule:lance is faster but does less damage. If you look at DPS (damage per second) a lance will outdo a cannon but sometimes it's better to be 0,2seconds slower to kill than to be over 1 second slower and get killed. You'll need to play around and see what's best with your gear vs a given class. EG lances work better on an other wiz than on a warrior due to the defence difference.

BM2:
Extreme dual cannon + Hailstorm > Space collapse + Arctic field > Vacuum + Lighning cannon > Stone cannon + Fire cannon

BM2 ranged
Extreme dual cannon + Hailstorm > Vacuum + lightning cannon > Stone cannon + Fire cannon > Aqua cannon + Terra lance.

Tips from others

Get Artic field to lvl15 and energy field to 19.
Get acid trab for TG (DoT purpose).
Aqua and freezing lance are not used by him.

Vitality Mastery – Adds MaxHP +
Mana Mastery – Adds MaxMP
Sharp eyes - Adds ATK rate
Reflex - Adds Def rate+
Defensive Sense - Adds Def +
Offensive Sense - Adds ATK
Force Control - Adds MATK +
Eyes of Mind - Adds ATK rate
Sixth Sense - Adds Def rate +
Damage Absorb - Adds Def+
Impact Control - Adds ATK
Ruling Force - Adds MATK +

PVP Upgrades: Vitality Mastery, Defensive sense, Force Control, Sixth Sense, Damage absorb, Rulling Force.

PVE Upgrades: Vitality Mastery, Reflex, Force Control, Sixth Sense, Damage absorb, Rulling Force.

Stats after Upgrading the skills:

For pvp against wizards and force archers (they have low def):
Extreme dual cannon 12
Stone cannon 20
Terra lance 20
Fire Cannon 20
Fire lance 20
finisher - Space collapse 12

Against other classes:
Extreme dual cannon 12
Stone cannon 20
Fire Cannon 20
Aqua cannon lvl 20
Crystakk Cannon or Terra Lance lvl 20
finisher - Space collapse 12

AoE PvE stunlock :
Energy field 18 > Extreme dual cannon 12 > Space collapse 12 > Arctic field 15

Single target PvE:
Extreme dual cannon 12> stone cannon 20> terra lance 20> fire cannon 20> fire lance 20

BM2:
Extreme dual cannon + Hailstorm
Space collapse + Arctic field (i miss these 2 skills if i need ranged attack)
Lighning cannon + Stone cannon
Fire Cannon+Aqua Cannon

Important Notes:
If you use combo u cant miss your skills, thats why attack and defence rate is only for pve.

Also if you use combo you cannot be stunned or knocked down.

in BM2 all skills has 1,7 sec cast time, thats why better use skills which has high damage and high cast time in bm2.

Suit:
First suit will be Shadowtitanium suit with 7% magic amp in slot. You will wear it till you can buy Osmium suit with 7% amp in slot (if possible 50 hp in second slot).

Gloves
For pvp: u need gloves with amp. The cheapest solution is Mystic Hands (WI) of Amp with 3-4% amp. Thats what i use now. Its not important to have slot in gloves, because you cant put hp upgrade here.

For pve: you will need gloves of vampire. Like example like this

Boots
Same like gloves, cheapest variant is Mystic Shoes (WI) of amp with 3-4% amp. If you can get boots with slot it will be perfect, because you can add +50 HP here and wizard need it very much. Personally i use this.

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So, suit, gloves and boots you need with MAGIC AMP. You need to have as many amp as possible.

Crit rate is the chance you have to make Critical Dmg.
Every character have 5% base crit rate. Everything you have besides is added to that 5%.
The cap for crit rate for every char is 50%. But with some jewels you can gain Max crit rate, which gives you more space for crit rate to be added.
For example Amulet of Pain +3 give 10 def and + 4% max crit rate. If you equip it you can rice youre crit rate cap to 54%. But dont forget, max crit rate, just rise the crit rate cap, it doesnet add any rate!!!
Crit Damage every character has 20% base crit damage and u can try to have as many crit damage as u can.

Helmet
So your first helmet which u will use long time will be Osmium Martialhelmet of Deathblow with 5% crit rate and 20% crit damage. Later you can change for helmet with 8% crit rate and 20% crit damage

Weapon
Your first weapon will be Pherystin orb of deathblow with 3-4% crit rate and 20% crit damage.
Later you can change it for Aqua orb with same stats, later for Lapis and etc. Orbs with 5% rate usually expensive..

Rings:
For pvp: 2x Ring of Luck +1 (later ring of luck +2)
For pve: 2x Life absorb ring +3

Amulet:
For pvp: Amulet of Pain +5 or higher
For pve: Vampiric Amulet

Earring
U can use at beginning Vital Earring or Earrings of Guard, but later you will need Vampiric Earrings.

Braselet
For pvp: Braselet of Sage
For pve: Extortion Braselet or Braselet of Sage

Another question is about Spirit Intension. I dont really understand what it is for. It encreases the general attack, does that mean it encreases only physical attack and not magical? In this case it wouldnt be useful for the wizard itself. Or do i misunderstand something?