Originally Posted by WindowSeatFlyer

There's nothing “odd” about having to reclaim bags, bring them through customs, and then check them back in again when connecting between international flights at a US airport. With very few exceptions, that’s how US airports work.
If you’re on a single ticket, great.
If not, which would not be unexpected since LH and LP are not partners, having two hours between two separate tickets would be ill-advised. I wouldn’t trust what an airline customer service agent tells me.
Do all flights show up on the LH site?
Do all flights show up on the LP site?
Do you have one or two ticket numbers for your LHR-LIM trip?
BA and AA are partners and are part of a transatlantic joint venture. LH and LP certainly aren’t. You can’t buy a LHR-LIM itinerary with LH and LP flights on either LH’s or LP’s websites, nor can you buy any other itinerary with LH and LP flights on either website, so it is reasonable to assume that the trip consists of two separate itineraries.