COM
Yes.
designated port it's the port on the bridg which receives the information into the bridge. in contrast to the root port which move the information out the designated port receive the information into the bridge.
No. VGA port is not either serial or parallel port. It is a different interface. If you need a serial output, you need a VGA to serial converter.
A designated port is the ports that goes from the root bridge switch to the edge of the network, so there is always a path from the root bridge to the other end. In contrast to root ports, which goes to the root bridge, instead of away from it. All ports that isn't root ports or designated ports are blocked.
It's called a COM port.
FastEthernet Port Serial Port
No. Its a parallel port
A management port is typically a port which does not forward normal network traffic and is only used for remote management. It allows you telnet or SSH into the router for management purposes. Typically all other protocols are blocked on this interface and it is normally placed on the management network and is separated from all other networks passing through the router.
universal serial bus port
A rollover cable is typically used to connect from a DB9 serial port on your computer to the RJ45 console port on the router. An RJ45-RJ45 rollover can be used from Aux port to Console port or from the ports on a 2509-RJ/2511-RJ to a console port.
USB port, serial port, parallel port.
You cannot simply "redirect" communication intended for a legacy serial port to a a USB port. You must purchase an adapter that emulates a legacy serial port.