I'm sorry I didn't understand the phrase with 1H coil. So the simulation I've shown where I2/I1 isn't equal 1 is because this transformer doesn't work like ideal transformer but with 100H it works very close like ideal. Am I right ?

The higher the inductance, the closer to ideal.

 

Could you please tell me why the current on L2 is equal current on L1 and C1.

Local current, circulated in resonant circuit C1, L1 does not transform to secondary winding,
sum of counter-phase currents in C and L of resonant circuit is zero, but current in L1 in addition contains
current, consumed by R3, so sum of currents in C1 and L1 is equal to current of L2:



Transformer transforms voltage from primary to secondary winding, but not current.
Current in secondary depends on impedance of load:


ADDED:

And check this out :

All your current and future questions you can answer yourself by this way:
1. Replace 1:1 transformer by coil with the same inductance.
2. Connect load directly in parallel to coil.
3. Use for analysis some RLC calculation tutorial, like this:
https://www.electrical4u.com/rlc-circuit/