Can laser burns paper?

No, it cannot, as the laser focus machine size is very small (0,2-0,5 mm) and the marking/cut speed is very high and therefore the time the laser beam hits the material is very short.

Can you combine cut with silkscreen or print?

Yes, laser cutting or marking must be performed after screen printing or printing and it is essential to use appropriate "fiducial marks" reference points.

Are there any specific working areas for the paper classic/standard sizes and what are the most suitable models?

The galvanometric-system working areas are square and accordingly, the models used are the CX (working area from 50X50 cm to 100X100 cm for the 70X100 cm size) or AX (working area 70X70 cm for the 35X50 cm size) systems.