1. Yes, both the R710 and R500 can be part of the same Ruckus Unleashed network.
2. Depends if a manegement interface has been configured for the network. See page 194 of the 200.6 user guide here: https://support.ruckuswireless.com/documents/2288-ruckus-unleashed-200-6-ga-refresh-user-guide
Configuring a Management Interface
The Management IP address can be configured to allow an administrator to manage the Unleashed network from a single IP address, regardless of which Unleashed AP is currently the Unleashed Master AP. The Management IP can be reached from anywhere on the network as long as it is routable via the default Gateway configured in Device IP Settings. Then, you only have to remember one IP address.
To configure a Management Interface:
a. Go to Admin & Services > System > Device IP Settings, and click the Management Interface tab.
b. Select the check box next to Enable IPv4 Management Interface.
c. Enter an IP Address and Netmask.
d. Optionally, enable the check box next to Use for RADIUS services to use this IP address for communication with a RADIUS authentication/accounting server. If enabled, the Master AP will send RADIUS packets through this management interface, and the RADIUS server only needs to record one IP address for the Unleashed network. Otherwise, it will record the addresses of all AP's.
e. The Use for SNMP services check box is automatically enabled when a Management Interface is enabled, and this address will be used for SNMP communications, if enabled.
3. I assume that the you're hoping to achieve a 2GB link back to the wired infrastructure from the APs? Are you using Gateway Mode on the master AP?