Yes, it will support lower resolutiuon, but not exceed the maximum resolution. For example, your monitar has a maximum resolution of QHD (3840x2160), your monitor will work fine without any problem in desired resolution. But it can't support higher resolution, as if you have a UHD Monitor/TV with higher resolution than your HDMI port can handle, such a 4520x2540 resolution, your HDMI port will only display 4096x2160, lower than the monitor's maximum resolution. And for refresh rate, higher refresh rate will perform better to reduce display or visual lag, but it won't be a big problem. Your refresh rate depends on the monitor capability support, for example, you have 2K Monitor with refresh rate of 60Hz and you have HDMI port with same...