tank vents let air in as gas exits so they could be hidden to the back somewherre but it will be on the top of the tank. it could have a ventr hose running to the side of the hull somewhere so look for a chromed or stainless button near the transom or rear corners, if you have one its not uncommon to have a mud dobber to make a nest in it blocking it up.
most fuel injected motors have a low and a high pressure fuel filter under the cover so if it sat for a while those should be replaced. also check the screen in the fuel pump is clear. (but it doesnt look like you have a high presure filter)
2002 DT200 Suzuki Marine Outboard FUEL PUMP (DT150(G-S),200(G)) Diagram and Parts