updates: the rpm-drop at warm enigne start getting worse. Today I stopped by a mall in a deep garage, and I just cant start the car after 20 minutes shopping.
When starting, the usual rpm drop came, but this time, it did not flatten, but stalled. After that, just cranking and nothing happens. I smelled a little gas from the exhaust, but just slightly. Cranked and cranked quickly, but did not catch it. First I thought that its getting rich, and the new plugs may be flood, but I did not have tools, so I got a taxi to home for the tools, and got back and took them out. They were dry. I put the old ones back in. NOthing.
Ok call a friend for suggestion, check if fuel pump is starting up with ignition, yes, it did, then check if its sparks, oops, it was shocky, so yes, it sparks.
So now what the heck?
Needed to leave the car for a minute, and when I came back and just tried it with full gas, and for the second time, the engine started. I already tried the pedal-to-the-metal starting the engine, but did not work. What is changed? I locked and unlocked the car with the remote.
I have a third party remote alarm, but I wouldn't think that it would have any immobilizer function, but to be honest, I do not know anything about my alarm&remote lock, it just does its job, locks and unlocks, and turns the alarm on and off.

After that, I stopped and started the engine several times, and it always started immediately, as always, since I bought it last week.

Misterious...