You don't NEED a main, you can also have a small pool of champions that you love to pick. A healthy amount would be under 18. Like 3-5 for the lane/area you main, and 2 minimum per lane you don't main. Like this, you can fill and cover all areas of the map. This doesn't prevent you from playing your favorite mid laner 95% of the time, just make sure you have your champion pool.
By playstyle they mean exactly that. Do you prefer marksman, support, DPS bruisers, tanky bruisers, tanks, assassin. Do you prefer staying from a distance and dealing damage or be close up in a fight and deal lots of damage. Do you rather take risks (assassins or alike) or play safer. Are you a fan of teamfights (AOE damage abilities) or more of a 1 vs 1 person. Do you rather play a melee champion, or a ranged champ.
etc etc.
On a side note, I played quite a bit of Vlad myself. The more mobility and raw damage, the better it is. I have a particular rune page for him:
http://na.op.gg/summoner/rune/userName=wow%20cc%20nub (look at #10 Vlad). 5% in my runes and going 21/9/0 masteries allow me to get 10% CDR at lv 1. Getting Revolver + boots of lucidity gives me sustain and lots of cooldown for my Q. Then I rush a Zhonias and raw damage items. (the closest thing to tanky items should be zhonias/abyssal).