You need to understand that Zigbee is extremely sensitive to EMF/EMI/RMI interference and Zigbee devices has very short range and poor coverage, so before you troubleshoot any deeper you really need to start with taking active actions to follow the best peaches, read and try to follow all the tips here → Zigbee networks: how to guide for avoiding interference and optimize for getting better range + coverage
To start you can get far by beginning by connecting your Zigbee Coordinator using a longer USB extension to a USB 2.0 port (not USB 3.0) and also add more/better Zigbee Router devices to your Zigbee network to extend range and coverage.
Yes and no (maybe not out-of-the-box), read/follow these two sections in ZHA docs: