When I look at HT (Hub Time) is all of that based off where my company is located? So if my company is located on the east coast all flights even from a west coast airport to another west coast airport would all be shown on east coast time though right?

Right. Your chosen time zone comes to effect everywhere.

Which is important to take into account when planning flights to airports with a night time ban

Can someone please explain this a little more in-depth.

I have a company in Miami. I want to connect with flights in HNL. When I look at his flight times are they based on his HT or are those time in my HT?

As far as I know, all the times you can see are your HT. But when planning flights, departure time and arrival time correspond to the subsequent airports.

If I am wrong, please correct me.

While your logged in, all times are in your hub time, assuming this is the setting you have checked.

I had 2 airlines in 2 hubs, when I wanted to IL them, it was simple enough - look at their schedule and book the flights to arrive before their departure time, making no adjustments.