The following URL has description of DHCP, including all the DHCP options:
If you use the GL-AR750S as the default gateway, then I think all external traffic will have to hit that device first, instead of going directly to your wireless router.
You can use Static IPs, or set DHCP Lease time to 100000h (which is >10 years) or even higher.
Both the GL.iNet UI and the LuCI UI are really front-ends to the OpenWrt commands and API, so both should show the same settings. GL.iNet developed their UI to be much friendlier and simpler to use for the majority of owners, vs the much more detailed and complicated LuCI UI developed by the OpenWrt/LEDE project. I use the GL.iNet UI for basic functions and only use the LuCI UI if not available.