Shouldn't be a problem doing that. Works best if the second router can be set as an access point. I've in the past done just that with an old Netgear DGN2000 and a Billion 7800.
Yes I do that here. Go into the net gear settings, change its address 192.168.0.1 works well for me. Then find the DHCP settings and change that so that it is off ( ie the router does not provide DHCP setting ). Do not forget to apply each of these changes when you complete the step. Plug the router into the network and then restart it. It should now work.
You can leave the wifi setting as it is or you can change them so that they match the settings on the HH5 it depends,DNS upon what you want it works just as well either way.
I do not use a long network cable, I use a pair of home plug power line adapters, much neater and works a treat.