Ok, so now I have the Mac Mini as a server, and I tried to configure the network in the way I wanted to. From my google searches I've found that the Mac mini can't connect to a Wi-Fi router and be a Wireless router at the same time. But I have a good solution... I have my Mac mini connected to the Wireless router, and I bought an Ethernet cable, that I eventually use to connect my MacBook directly to the Mac Mini for faster screen sharing. Using this direct connection through the Ethernet cable makes screen sharing pretty fast... I mean, it's NOT 100% perfect, but you can control the computer quite smoothly if you are using the "Adaptive quality" configuration found in the menu bar of the screen sharing app.