Lvl 2 Warlock only has access to Lvl 1 spells

I updated my character's level to two. Everything changed accordingly, even the known spells count, which is currently 2/3. I am, however, unable to pick any Lvl 2 spells since they aren't shown to me. I am only able to pick the spells that were already an option on Lvl 1.

Any advice on how to fix this?

There's nothing to fix. If you see the Warlock Class Table you'll see that Warlocks (and all spellcasting classes actually) don't get 2nd level spell slots until at least class level 3. Yes it's confusing but the maximum spell level is 9 which most full casters don't get until level 17.

Ah that makes sense, thanks!