Looking for an A/V receiver

[WaltWiz1901]

I'm thinking about upgrading from a stereo system (two Logitech speakers, and later a JBL 2.0 soundbar, hooked up to my TV) to a 5.1 system. I'm planning on getting the JBL Cinema 510 speaker system, but am not sure what A/V receiver to get. I'm specifically looking for a receiver that:
- has HDMI inputs and an HDMI output
- can send lossless/uncompressed 1.0 mono soundtracks to the center channel when said signals are being passed through using an HDMI cable (I've read that some receivers [can] split the signal into two instead of sending it to just one speaker)
- can read the surround flags embedded into Dolby 2.0 surround tracks and automatically decode them using Dolby Pro Logic I/II (or similar) when in the auto/standard surround listening mode (if set to direct, most receivers will send 2.0 signals, regardless if they're surround-encoded or not, to the left and right speakers only; some receivers don't even recognize the surround flags at all)
- has the original four-channel Pro Logic as one of the surround modes (most receivers today either only have Pro Logic II or a Dolby Surround upmixer)
- is powerful enough to fully uncompress a Dolby TrueHD/DTS-HD Master Audio track when the player is set to bitstream (I've read that some receivers aren't strong enough to do this and only decode the lossy Dolby Digital/DTS core instead)
- doesn't strip out the rear surround channels in 5.1 EX/ES, 6.1, and 7.1 tracks when downmixing them to 5.1 (my room has no space for rear surround speakers)
- goes for a reasonable price
Anyone here have or know of a receiver that has all (or most) of these features?