What to do when high loading's displayed

possible a low fuel pressure problem
have a pressure test done on the fuel system
could also be a problem in the ignition control module
have the fault codes read to check further faults

CHECK YOUR TIMING BELT TO SEE IF IT NEEDS REPLACED

You need to run a fault code test on the electronic engine control module. You can learn how to do that here

You have a blinking battery light
and a condition when pedal is pressed
to the floor

Diagnose those 2 issues first & maybe you
will resolve the stutter problem
Most likely ignition issue

Try a different mechanic

The fact you tell use what your experiencing,
is proof that your mechanic isn't working
on the issues you have.

that transmission has a computer control unit
transmission combined with the EFI system

supposed to match that unit with the transmission fitted
or diagnostic scanner to reset the modules

Wow! The engine is running like **** with misfire codes? I think that's what you were trying to say. First, stop all the "miricle cures in a can"...fuel injector cleaners, K&N filters and the such. They will only do more harm than good. Next, replace your distributor. Honda igniters are notorious for causing the symptoms (and codes) you are describing and they are only serviced in a complete distributor assembly.

If you are running any extra systems, ie amps, subs, high watt speakers, etc. etc. you may need to get a better batter, like the blue. or yellow top one. check with auto zone.

A week ago, on my Lexus ES 300 (2001), "Check Engine" and "Trac Off" lights came on. This coincided with me filling the gas tank to the brim to round the dollar to be paid. I cleaned the gas tank cap and the tank opening. However, both lights persisted. On the same day, when I turned on the car again, there was a hesitance, a stuttering to come on. Both "Check Engine" and "Trac Off" lights were still on.

The next day, the car wouldn't come on at all. It sounded as the battery was dead. I couldn't even jump start the car. So, I got a new battery from Costco ($59) and put it in. It took 15-20 seconds of cranking to get the car started. Once it was started, the engine sounded fine and the RPM normal. The "Check Engine" light was off. However, the "Trac Off" was still on. I cleaned the gas tank cap one more time.

The next morning, when I turned the car on, there was no problems. It came on instantly as it used to be, didn't have any warning lights, and drove smoothly.

FUEL PUMP

you can have the engine light checked at auto zone or advance auto but check the cam position sensor