#1 you can either create a Qsys component with an Avalon-MM or AXI master interface and connect it to the H2F bridge interface that is exposed or you can click on the H2F bridge slave port and "export" it which will make it available outside of the Qsys system. Basically it's your call, I typically use the former since I'd rather design standard interfaces and let the integration tools wiring things up for me but if you prefer wiring and adapting interfaces manually that's possible too.
# 2 You don't need to remap the H2F bridge like the other two bridges but you do need to make sure it recieves a valid clock and is pulled out of reset.