You are right, it should be IRLZ34N.
So no resistors at all? I often red about how necessary a pull down restisor is. The MOSFET should be fully open at 4V, so i thought the 220 ohms were fitting.
Heat would not be an issue, as the circuit will only be operated maybe 3 times a day for just a few seconds at max.
The battery will not be connected permanently, it only gets hooked up just in case if there is a failure. But thanks for the GND tip, maybe need this for some future projects!
I thought about an AND gate too, just for my kind of thinking two "switches" in series were easier to understand. The one i found was the SN74LVC1G08, but couldnt tell if this would work for that purpose.
I guess there are MANY ways wich get the job done, i just try try to figure one out that's easy to understand and not likely easy to fail.
Where did you hear pull-down resistors are necessary? The main reason to use them is in the case of a microcontroller driving a MOSFET, in which case the resistor ensures the MOSFET is off, if the microcontroller's I/O pin is set to an input (high impedance, rather than either high or low), which would cause the voltage on the MOSFET's gate to be an indeterminate level, which could cause it to turn on, when it should be off, or get hot, if it's partly on.
In my circuit, the MOSFET is driven off a logic IC, which has an output, which can only ever be high or low, unlike a microcontroller's I/O pin, so there is no need for a pull-down resistor. If you were going to add pull-down resistors, then they should go on the logic IC's inputs, to prevent them from floating, if the TPP223 were to go high impedance.
Series gate resistors are generally recommended, if the MOSFET is being driven from a low impedance source, which can cause oscillation, due to the parasitic gate inductance. In my circuit, they are also unnecessary, because the 74HC00 has an output impedance of around 50 ohm which is high enough to damp any oscillations.
The SN74LVC1G08 is a good choice. I only suggested the 74HC00 because being through hole, is easier to solder and I only stock NAND and NOR gates, because they're more flexible i.e. it's possible to use them to make oscillators with, which can't be done with non-inverting AND and OR gates.