The Parasound P7 is not really a true HT Processor. It's a 7 channel analog preamp.
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For HT Processor, I would recommend getting the highest resolution processor possible, depending on your budget. If 4K is a requirement, maybe Krell Foundation 4K UHD. If you don't need 4K, then maybe Krell S1200U or Classe SSP-800.
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The Rotel RAP-1580 is like a HT AVR Receiver and it's probably a very good product. But it is higher resolution and faster. It may not be the best match for your Focal speakers, and would definitely sound different than the Luxman amps for left/right. The Parasound A31 (or JC1 + A21 combo) would sound closer to the Luxman than the Rotel would.
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For HT Processor, I would recommend getting the highest resolution processor possible, depending on your budget. If 4K is a requirement, maybe Krell Foundation 4K UHD. If you don't need 4K, then maybe Krell S1200U or Classe SSP-800.
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The Rotel RAP-1580 is like a HT AVR Receiver and it's probably a very good product. But it is higher resolution and faster. It may not be the best match for your Focal speakers, and would definitely sound different than the Luxman amps for left/right. The Parasound A31 (or JC1 + A21 combo) would sound closer to the Luxman than the Rotel would.