control 7 axis machine with LinuxCNC

Hi my name is Valerio and I am new to LinuxCNC.
I like to play with CNC machines.
I am in the middle of designing a 7 axis machine.
This machine has 4 axis that move X,YY,Z (I have 2 stepper to move Y) plus another 3 axis, 2 of them rotating the spindle and the third one rotating a lathe chunk (as you can see from the pic).

I use to use Mach3 on another machine that has 4 axis X,YY,Z but for the new machine I cannot use it because Mach cannot control more than 6 axis.
I saw that linuxCNC allow you to customize different kinematics and allow you to control up to 9 axis so my questions are:
1--I will be able to control my machine with linuxCNC?
2--If answer 1-- is yes; How I can slave one of the Y axis to synchronize motion on Y and generally how I can customize linuxCNC for my DIY machine?

Thank you in advance for any tip.

Regards,
V.

Hi
Thanks for your answer.

The machine is not on its feet yet, so the controller at this stage has not been chosen.
I use a laptop with dual boot windows10/linuxcnc.
I am just trying to think ahead.
At the moment on my other machine I use a an UC100 usb connector to match a parallel port shield controller but, I am pretty sure that I cannot use the same system for the new machine.
So I need to get more into this topic.
Anyway thanks again for your help.
V.

Thank you for the update.
I will have a look.

If Mesa 7i76 (5 axis control) is used with parallel port, can we put another 2 axes to parallel port?