The pandemic will end on the 24th, so you could make it to Tatooine before then, but yeah the pandemic missions are pretty deep into Tatooine anyway since it starts in the Dune Sea which is the last area of Tatooine you visit on your story quest.
The Emergency Fleet Pass is when you're on a planet somewhere and you really need to go to the Fleet station for whatever reason. You use it the same way you use your quick travel, you put it on one of your quickbars, click it and let it do its thing. Then you'll be transported instantly to Carrick Station on the Republic fleet (for Republic players, Imperial fleet for Imps). The cooldown for this pass is 17 hours which is why it's only really for situations where you really need to get back to the fleet quickly.