The blinds are recognised as lights which is the case for many devices from outlets to curtain motors. This is because the bridge reports them this way. We are looking into ways how to separate them in another way as smart devices evolve. The icon should display a blind for the Fyrtur.
The sunrise / sunset is a limitation on the IKEA Gateway. Alternatively, use a deCONZ gateway through www.phoscon.de as this offers better solutions for wider smart solutions.
Remote access is called “away from home” in Hue Essentials. You find this in the Android app in the left panel (swipe from left). Log into your Philips Hue Account and you should be fine. IKEA Trådfri does not offer remote access. Alternatively, a VPN could be used to your home network. When using the solution mentioned before, you could set this up on the same Raspberry (with ConBee or RaspBee from Phoscon to run deCONZ). You can then install an app like OpenVPN on your phone and control your devices as if you were at home.