Transistor audio amplifier with dual voltage supply
Q5 in the example circuit is a PNP transistor but, in your LTSpice circuit you have used an NPN transistor. This will render it inoperable: -



You have also forgotten the emitter resistors for the output transistors. There may be other errors but these are enough to make you reconsider the simulation.

Addendum

Q3 is incorrect too.


  Also, when I finally run this circuit, do You know how to rise the
  amplification of this circuit(?), for now it is like 30 V/V.


The mid-band AC gain is dictated by the ratio of R4 to R5 plus 1. For the values used, I estimate the mid-band gain to be 31.3. If you require more gain you could lower R5 or increase R4 but, either way, you may start to have problems with gain at the upper frequencies - you'll need to check this out and if you do have a problem it may be easier to apply op-amp gain before the input.