You don't need a powerhead, but it will drastically increase the flow through the UGF plates. With an air pump only, the rising oxygen bubbles create a current that pulls water along with it. As water flows up through your uplift tubes, water must be pulled down through the gravel to replace the rising water. Using a powerhead instead of an air pump just increases the flow rate through the uplift tube. However, if you use a powerhead, I would only use one of the uplift tubes and cap the 2nd one off (if there is a 2nd one). Water will always take the path of least resistance, and if you have a powerhead on one uplift tube and an airstone on the other one, the powerhead will likely be pulling water through the other uplift tube instead of through the gravel.
About the HOB filter, do you know what kind it is? Usually there are cartridges you can buy specifically made for the type and size of HOB you have.