Personally I find it a lot easier to solder an IC than a whole bunch of discrete transistors totalling the same or higher number of pins.
Neither of your circuits will work as intended:
The first is the closest, but it triggers on the rising edge not the falling edge, the on time is highly dependent on the specific transistor's Vbe vs Ib curve and its h
FE,and it takes a long time to reset ready for the next trigger, and also if the input is a 12V level like the supply, when the input goes low, it Zeners the ZTX689B's reverse biassed B-E junction which slowly damages it, reducing its gain.
The second has all the undesirable features of the first except that 5V isn't enough to Zener a B-E junction. Also its on time (if it turns on at all and doesn't stay on) and how hard it turns on is determined by the capacitor leakage current, the ZTX689B reverse B-E leakage current and the time the input pulse was low, so with a high quality capacitor it basically doesn't work.
LTspice sims attached, as even if you've got a decent multichannel scope and maybe even a current probe, its a lot easier and quicker to discard really hopeless ideas in a sim than on a breadboard.
I also attach a sim of a non emitter-coupled two BJT Schmidtt trigger, showing snap action switching with a triangle wave input which may give you a starting point for a two BJT circuit (or even a BJT + MOSFET circuit) capable of driving your pump motor. You'd still need to add a diode +RC network in front of it to implement the negative edge trigger and on time requirements.
Edit: I've designed a BJT + MOSFET timer circuit to meet your requirements based on the Schmidt trigger attached this post. Unfortunately, in addition to the single BJT and MOSFET, it used three diodes and eight passives. It could be muntzed a bit but only at the expense of its performance and long-term reliability. I'll post it after you've had a chance to come up with your own version.