RP2 is a resistor pack, and shows damage. It has been getting hot all of it's life, probably. These are typically used to pull a signal up to (+5V) or down to (GND) if no other part of the system is directly driving the signal line at the time. On the inside they are very simple, just a bank of resistors lined up to one common rail. Saves a lot of connections than using individual resistors.
Typically, some RP designs have lower or higher resistance values than are necessary for continuous operation. Also, if they are sinking more power (Volts X Amps = Watts) then they were designed for, they will get very very hot and eventually some of the individual resistors in them start burning out. Resistors have a wattage value. If they sink more current and draw more power (watts) than they are rated for, they will die, sooner rather than later.
The snag with resistor packs is, every resistor in one has a similar resistance. Sometimes you want a bit higher, to reduce the amount of power being drawn. Swapping out just one resistor isn't possible without hacking the motherboard. If you do replace RP2, try it 2 ways - one with the same resistance values, one with about double that or less. The double one will run cooler, but might not be able to "assert" the line correctly.
You might find some of the logic chips around that area, which connect the fast RAM sockets to the rest of the system, have gone bad. You can get 74 series chips in both TTL and CMOS. Most equipment was fitted with TTL. CMOS take way less power and does the same job, but requires careful handling as it is static sensitive (this is an issue when noobs start poking around with hardware).
What revision of A2000 are you using it on? Problem might not be the card, it might be a mod done to bring early rev 4 boards up to rev 6 standard. Or there might be issues with both Amiga motherboard and card daughterboard.
The root cause I think is, accelerators need slow downs when talking to or reading from the Amiga custom chips, or chip RAM. That part of the bus only goes at 7MHz (AGA goes 14MHz), so accelerators have to slow down access to those areas, or the information gets garbled on transfer. For some reason, that used to work, but does not anymore.
The problem is vastly reduced on the A3000 and A4000, which were ALWAYS designed for faster CPUS to access the Amiga parts of a system without a hitch. OK, sometimes you have to plug in newer Busters, but the design side was there from the start. Those were designed asynchronous from the ground up. A2000s just were not, it was something they were adapted to by modification.
