How do you figure the impedance for each side?
Car speakers are usually 4 ohms each. Therefore at high frequencies each side has a 3-way and a tweeter in parallel, resulting in 2 ohms.
Adding the woofer lowers the resulting impedance at low frequencies the same.
The TDA1554 IC is designed to power no less than 4 ohms for each side, so it is overloaded at both low and high frequencies.
You need to add a separate amp to power the tweeters and you should add a 3rd more powerful amp for the woofer. I have never seen a woofer connected to both channels like you have, but I guess it will work allright. This connection does not give you separate control of woofer and tweeter levels but maybe resistors can be added to the tweeters to attenuate them.
The tweeters should have capacitors in series with them to keep low frequencies out of them. The woofer should have an inductor in series with it because woofers play medium frequencies strangely. Try it without an inductor and if you don't like the sound, an inductor can be added later. The inductance of the woofer prevents it from being in parallel with the tweeters so the amp isn't overloaded.
The system will end up looking like this:
View attachment 37920