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The capacitor is 4.7pF + 5pF = 5.2pF
From 1-3 is 4.5uH (3.2 to 5.7uH)
There is no 4k resistor inside.
1-2 = 5 turns
2-3 = 9 turns
1-3 = 14 turns 4.5uH
4=6 = 2 turns
The formula for inductance and turns ratio is turns^2 (turns squared)
We know that 14 turns = 4.5uH.
You need to work out the inductance for 1-2, 2-3, and 4-6. Then plug them into spice.
You have the phasing of 1-2 & 2-3 so the inductance will add not substract so that is good.
There are 14 turns between pins 1 and 3. Per the datasheet there is 4.5uH between pins 1 and 3.
There are 5 turns between pins 1 and 2, so the inductance between those pins will be 4.5uH x (5/14)^2 = 4.5uH x 0.128 = 0.57uH.
I have often SPICE-ed the IF filters to get the bandwidth right. Probably I have done every block of a FM radio many times but never the entire thing.
One thing, I do not have enough computer to do the entire radio. I started with SPICE on a 8088 PC and "if my computer was a little faster". Now with 1000x faster it is too slow.