while connected to My Control main board, TX is connected to ground.
I have no idea why and how. But that explains why the signal is attenuated
Not really, because your scope traces show that TX is pulled UP to 3.3v, not down to Gnd. So there's something else going on. But I think you may have measured incorrectly, see below.
1. If i check continuity between GND and TX on "my RS485" board, while the board is disconnected from everything, i get very short buzz signal. and that's all. ALWAYS!
Don't use the continuity mode. Use regular resistance mode, and measure with the meter probes both ways around. There is active circuitry connected to these pins, with things like ESD diodes and input/output transistors, which can cause misleading measurements. Exactly what happens depends on the circuitry and the meter you use, but if you see different resistance measurements when you swap the probes, then you know something tricky is going on.
If you want further help, please provide more information. Photos or diagrams showing CLEARLY how EVERYTHING is connected would help a lot. Your descriptions aren't very clear and it's hard to understand how you have everything set up. That makes it very hard to help you.
Obviously, there is a high potential between the two devices.
No, there's no indication of that at all. There could be, but OP has not provided any information that suggest that is the case.
But do not try to connect the GND of two devices - this can be disastrous.
No, ground needs to be connected between all devices on both the TTL UART side AND the RS485 side. RS485 requires a common connection to work properly.
I have already told you that an uninsulated RS-485 is not the best option.
There is nothing wrong with a non-isolated RS485 link in most cases. RS485 is specifically designed to work with a common mode voltage offset of several volts. There are some situations that benefit from isolation, but no reason to believe that OP's situation would, or that isolation would solve the problems OP is experiencing.