2. I checked this and that and that and found that Lucas equipment has a license to use the L3 feature. Do I need to buy a license to use GIBC 1G as needed? I think you meant "Ruckus " instead of "Lucas" for 1G connection you don't need a license
3. Is Cisco's dedicated GBIC compatible with Ruckus equipment? No , It is recommended to use Ruckus transceivers with the Ruckus devices . 3rd Party devices even if they work in case , you will not have support for them with troubleshooting or if you land in a issue with there working with Ruckus Switches support would be limited with 3rd party GBIC.
4. It has been confirmed that there is no problem in the current UTP cable connection environment, is there a problem if I change it to an optical cable? For optical I suppose the equipment needed would be different completely . You can check with your team internally and decide based on the cost and expenses and environment you are planning to install or migrate to optics.
Also I am adding links below that will help you to understand out products better . From the description I guess you are using 7150 switches