@DuthguyNot bad, of course it's not complete. For health we go with averages, however your first level will always be max. So for a fighter you'll add 10 (Since their hitdie is a d10), then 6 for ever level in fighter you take. Thus, 10+6+6=22, then add your con bonus multiplied by your level. For you, that'd be 6, so your have 28 HP total. Solid.
For equipment you can pick your gear based off your class, plus 150 GP for other stuff if you wanna get more items. If you want to sell off anything you'd get from you class, you may sell those items for half-price.
Don't forget to choose your skills as a fighter as well. I don't remember all of them off the top of my head but I know you get at least two more.
Additionally don't forget to add your abilities as a fighter too. In 5E they're not simply beat sticks; they got some new tricks up their sleeves you'd want to get familiar with, such as fighting styles and such. Additionally since you're a level 3 fighter you get your martial archetype too, which will give you even more options to beat face. See
these for whichever one rolls your boat.
And of course do try to fill out your character's personality, background, etc. Not just for your sake but mines as well.
@Riaxh So far what plot we're doing is inconclusive. We got one vote for the Raiders of Norn quest, and one vote for the Neverwinter Nights game. Beyond that no one else has voted for what they'd want to do. I'm personally leaning towards Norn since it's much more free form, but I'll still leave the voting up.