The game's main currencies, Energy and Platinum (used to top up the former), can run out quickly if you zip through content. So taking a more laid-back approach will mean you will get more out of the free content.
Energy
Energy does rejuvenate over time, so you can return to the game later on to complete missions.
Loot bonus
Lots of the non-combat missions take a few minutes to complete, but there is a loot bonus to collect once they are done.
Pottering
Pottering around the Vampire District is a great way to stock up on supplies and sell items while you are waiting for mission timers to run down.
PvP
If you want to take PvP seriously, be prepared to spend some real money upgrading your kit unless you want to be slaughtered by better equipped foes.