When Q2 is in Saturation, C3 has to charge thru' R2 to finally switch on Q3.
When Q3 is in Saturation, C2 has to charge thru' R3 to finally switch on Q2.
R2 and R3 control the charge timing and hence the frequency, not R1 and R4
If the hFE of both Q2 and Q3 is same, yes, Q3 turns on first.