Mine too, the replacements didn't get HDMI. I mean the store ones. They say it on the box I think. I don't notice a big difference on mine but I don't have the other speakers hooked up yet, just stereo. I have bad hearing though.
The last time I checked, it did. Both commercial DVDs and DVD-R. Also there is at least one (hacked) DVD player that works without a remote.
for XBOX (1) there is also a app that makes your xbox think it has a remote. And for playing DVD's in XBMC I don't need to use a remote. (I got one of the newer builds)