I still have some questions. I don't have the option "Extend using Ethernet" . I have this choices:
First meny in AirPort Utility (on a Mac with Yosemite 10.10.4):
Headline: "This AirPort Express vill be set upp to Extend "NETWORKNAME".
First row: "Base Station to Extend": (a drop down list where my Time Capsule is, and I have chosen the name "NETWORKNAME").
Second row: "Base station Name: (Input where I can type in the name of the new AirPorts Express name)
You don't choose this option, the wizard will display it during the setup if your AirPort has a good Ethernet connection and you follow through with the prompts from the wizard. "Extend using Ethernet" will display during the setup if you went ahead and set things up, but you might have missed it. We will go through this with you if you want.
Question 1: AirPort Utility sugests a name for the AirPortBase Station ("NN's Airport Express"). But should I change it to the same name as the Base Station to Extend (=NETWORKNAME)?
Use a short simple name for the AirPort Express. Mine is Express, for example. Do NOT use the same base station or device name that other AirPorts might be using.
Question 2. Instead of this options on the first page I can click the button "Other Options" in the left corner. Then I have a page with four new choices:
a) "Create a new network" I have tried this first and named it exaclty the same as "NETWORKNAME". It workt but I don't think thats the right way to do this.
b) "Add to an existing network". This seems to be exactly the same as in the first page.
c) "Replace an existing device". Not right in this case.
d) "Restore previous settings". Not right in this case.
Is this one of the two first a better choice when I would like to extend a network with Ethernet Cable?
None of this is applicable. The wizard will choose the correct setup for you.
Questions 3. When I have set up the AirPort express and go to the "Wireless" tab the Network Mode is set to: "Create a wireless network". Is that right or should it be "Join a wireless network" or "Extend a wireless network"?
Create a wireless network is the same as extend using Ethernet. Unfortunately, Apple never bothers to tell you this.
Question 4: When click the "Wireless Option" button at the Wireless tab I can enable 5 Ghz network as well. Is that good choice? If yes: The preset name of the 5GHz network is "NETWORKNAME 5GHz". But isn't it better to change the name to the same as "NETWORKNAME"?
Entering a check mark in the box next to 5 GHz does not enable the 5 GHz network. It allows you to assign a different name to the 5 GHz network. Both the 2.4 GHz and 5 GHz networks are always on. You cannot turn one off and leave the other on and vice versa. But, you can turn both off.
Good arguments can be made for or against using the option to assign a different name to the 5 GHz network. That can be a long discussion, and we will not tackle that now. My recommendation for most users is that leave the 5 GHz name box unchecked. Then, both the 2.4 GHz and 5 GHz networks use the same name and wireless devices will choose which one to connect to based on their own capabilities and distance in relation to the AirPort.
At this point, I'm not clear on where things stand. It appears as if you set up an AirPort and it is working correctly.