I want to increase the collector current of the first transistor up to 50mA, why can't I?
Because the emitter current of Q2 the sum of its base and collector currents. The Q2 emitter current flows into Q1 base, which turns it on.
Q1, if turned on hard, into saturation, could have a VCE of a few hundred milivolts. That is, it could reverse bias Q2. Therefore Q1 doesn't saturate. It turns on just enough to reduce the current through Q2 to what it needs to stay turned on.
If you increased the base current in Q2 once Q1 was conducting, then paradoxically I'd expect the collector current to reduce. The increased base current would flow out of the emitter, turning Q1 on harder, which would reduce VCE and therefore collector current.
If somehow magically Q2 collector current went up to 50 mA, Q1 would turn on fully. With a VCE of (say) 400 mV and a VBE of at least 700 mV, Q2 would be reverse biassed, and collector and emitter currents would reverse.