-You can toggle airplane mode on and off to reset your wifi. This is actually faster than typing in any code or restarting (Even though W10 restarts at lightning speed).
-You can also easily toggle your network adapter off and on, but I don't think you'll need to because airplane mode should be quicker.
-Like Luis said, with that HDMI port you can connect to any modern TV. I have a small ASUS laptop and I can do it.
-I have no idea what chromecast is, but Windows10 has a pretty comprehensive compatibility mode (or so I've heard) if you want to try running it in 8.1 compatibility mode, usually accessible by right clicking the program and messing around in preferences.