boot loop after flashing partitions from stock firmware

I have Arch linux installed and have installed android-tools(so fastboot and adb commands are available).

Because I had a problem with kingroot I needed to flash the phone to stock.

I had stock firmware downloaded and extracted it to see the sin files inside it.

I flashed partitions using these commands :

fastboot flash system system.sin

fastboot flash userdata userdata.sin

fastboot flash cache cache.sin

fastboot reboot

Now the first two succeeded but the third one failed saying partition not found(guess I don't have cache partition for some reason).

After that I got stuck in a boot loop.

Normally sony Xperia P boots with Sony word and then to Xperia word(which blinks) and then to android but it's stuck in the Sony word.

I tried powering off the phone and flashing the boot partition using this command :

fastboot flash boot kernel.sin

rebooted, the same problem.

I tried to flash FOTAKernel but I don't seem to have this partition.

I tried also fastboot reboot-bootloader and then reboot but the same.

I've read the boot-loop wiki, both Safe mode and recovery mode are unreachable.

I would try to flash the other .sin files But I don't know to what partition they belong and google didn't help me to get this information :3 .

So what to do ?

Update

I forgot to mention that I tried to flash .ftf file using FlashTool 0.9.19.10, this tool didn't work, I click the lightning bolt, I chose the Flash mode, I choose the .ftf file(after putting it in ~/.flashtool/firmwares), after clicking ok it tells me to plug my device in fastboot mode.

I click Volumne Up while plugging the device and I see the blue(somewhat purple) Led light on.

I wait and wait and even when Flashtool said "Device connected in fastboot mode" it doesn't do anything but telling me to plug my device :3 .

Device

Sony xperia P runing android 4.0.4, bootloader is unlocked but the phone is not rooted nor has custom recovery(so no CWM or TWRP here).