replace EEPROM chip - and then what? How to flash FW?

[icefire]

So I have this problem that the TV tries to start but cannot - so it just clicks and fails to go start.

TV Model: UE40C6000RWXXH
Mainboard: BN41-01444B / BN94-03611S

The EEPROM chip is S24CS02AVK4K670. I suspect an EEPROM problem so I want to replace the whole EEPROM chip. So I have 2 questions about it:

1. After replacing the chip the new one will have no firmware on it. How to I flash it? I really tried searching but all flash procedures I found were assuming a working TV which can be switched on.
2. My current EEPROM chip is S24CS02. However, I cannot find exactly the same. Can I replace it with S24CS04 or S24CS08?

[icefire]

ok so it turns out there is also a second EEPROM chip: IC7301 4256BRP

So which EEPROM chip stores what information? Does anyone know that? And more importantly, where do I get the firmware I need to flash before soldering the new chips?