I assume you're intending to use one micro for all six plates?
This could all be done pretty cleanly in firmware. You just need to be sure you have enough I/O and enough hardware to get a usable timing reference.
I would start with a hardware definition, starting with I/O requirements. You'll want an external oscillator using a crystal or ceramic resonator, possibly a reset generator IC, and the rest is I/O.
For each disc, you'll need one input from the pressure sensor, one output to control the blue LEDs on that disc, and one output to control the red LEDs on that disc. That's 6x3 = 18 pins needed on the microcontroller.
The internal design can be done in many ways, depending on the hardware available. In this case where the firmware logic needed to decide on state changes and I/O activities is very simple, and quick, you can use a polled design to handle your time base, and avoid interrupts altogether, which I think is helpful if you're just starting out. This assumes you're coding in assembler or C, not BASIC!
Once you have your timekeeping coming in, you can update variables that relate to the pulsating of the blue light, and the flashing of the red light. Then you need some control variables that are used to gate that modulation data with enable/disable control signals for the blue and red LEDs, which in turn are driven by logic that polls the inputs and performs debouncing if necessary.
I'm proposing a design similar to an event loop, where the event is a timer tick and the maximum total amount of code executed in response to any event is small, well-defined, and well-controlled, so the MCU will always be ready to respond to the next tick before it occurs, and interrupts aren't used. The timer tick rate would probably be somewhere in the range of, say, 40 to 1000 microseconds.
If it's structured tidily, and with the realtime conderations taken into account, you can have a design that's well-defined, reliable, and relatively portable to other MCU architectures (perhaps not important to you), and can be got working easily.
I can go into a lot more detail if you reply with as much detail as possible on your application.