Yes, assuming the express (and the PLC link) is in bridge mode, you will have one network so AirPlay, AirPrint and Bonjour will work like you have one router and everyone is in range or plugged in to the ethernet.
You can use the same SSID on both wireless networks, but then you can't choose which network you are joining if you start on one and the connection is simply better.
The big downside of PLC or ethernet link is you don't get automatic switching of the base stations if a device starts on the main and doesn't leave the signal range. You can remedy this by reducing the transmit power on the main station to ensure that by the time you get to the bedroom, the existing link is lost and the device has to join the express.
Making two SSID networks allows you to know which base station you connect - not leaving it to the software to determine based on a short measurement of the two signal strengths when you "join" the network.
Whether you have one SSID or two, I would recommend selecting different channels for both transmitters as far apart as practical or consider reducing the transmit power on one if you find bad interference in between the two wireless transmitters.
Use the logs and statistics graphs in Airport Utility to see the transmit speeds and which base station your devices are connected when you choose where to place the devices and what channels to use.
If the old Airport Express was connected directly to your cable/DSL modem and the new Time Capsule replaced it (again, directly connected), you may need to reboot the modem (generally by unplugging it and plugging it back in, maybe holding down the reset button) to reset its DHCP. You may also need to do this in a particular order, generally 1) shutdown Time Capsule, 2) reboot modem, and 3) restart Time Capsule.
Reason: some broadband modems seem to only assign one internal IP at a time and only check for a device on startup.
Best Answer
Neither the AirPort Extreme 802.11ac nor the AirPort Time Capsule 802.11ac appear to support SNMP or syslog data to maintain or monitor these devices.
You'd have to load some custom firmware or discover an older management tool that can convince them to configure either of those services. Nothing I can find from Apple shows that either functionality remains on the current AirPort line of hardware.