I am a 2nd LT, going to Fort Bragg. On my orders it said “0082 IN HHC 01 Replacement WABA01”. Does that mean I will be in HHC?

No it's a replacement UIC for incoming Soldiers. Your BDE will strengths management will determine which BN you go to, your BN CDR will determine where you go from there...usually

No you are not going to HHC. If that's the UIC, you'll be going somewhere in 2nd BCT. But you are a LT and a quartermaster (nothing against you) so you'll either be in the BSB for 2nd BCT or you're going to the sustainment BDE.

Your assignment is to the Replacement Battalion from there you will assigned based on the needs of the installation!