A great thing for PvM and PvP is to shoot for barrows gloves. If you check the wiki, the quest Recipe for Disaster has a LOT of requirements of quests and skills, so it's a great way to get a good taste of lot of things. The barrows gloves have great stats all around, and the rune gloves are cheap and have good stats for PvP. And whenever you see someone in the CC asking for a trip or an event thats starting, feel free to ask if they can teach you how to do the boss, I'd say 99% of the time as long as you have decent levels people will show you the ropes.