Odysseys are overall, IME, a vehicle that will give you some problem areas that will need work. I have had to reseal roof seams, fix sliding door latch, replace sliding door rollers, replace power steering hoses.
The high mile vcm engines often have wear on the front camshaft. When I found wear on my 2010, I tried to order one but they were out of stock. I looked for a good one at the junkyard... Had to go through FIVE engines that all had cam wear before finding a decent camshaft.
The PCV system isn't great, IMO. Usually, the head with the PCV will be covered by brown varnish. I'd recommend replacing the PCV valve immediately... Maybe it would help?