Have you ensured that, when you started your project, you selected the right project settings?
You want to use the settings for a DSLR 1080p at 29.97 fps.
If you do that much, you'll be 90% of the way there.
But outputting a video at exactly the same quality, exactly the same size video file, is all but impossible. Video, for the most part, doesn't work that way.
An .mov video is packaged in a file that Premiere Elements needs to unpack to use. It can later repack it into another MOV if you'd like -- and it can look as good as the original -- but it's pretty unlikely it's going to be exactly the same or even the same size.
MOVs, after all, are only packages. They can use any of dozens of codecs (compression systems), so the chances that Premiere Elements will use exactly the same codec and quality level to output your video are pretty poor.
In fact, an MOV might not even be the best choice for an output file. It depends on what you plan to do with it.
MOVs can be used as source video for another production, they can be played on iPods and iPads or Apple TV, they can be posted online. But how you plan to use your video sort of dictates which format your video will take.
If you could originally shoot it or convert it to 1900x1080i H264 then you should not have any problem.
- try 4Media.or AVS converters.