Let's start with a little history. The DVD format was developed in the late 1990s before HDTVs had become widely adopted. The video DVD format therefore has a maximum resolution of 480p (standard definition). The video file format is MPEG-2 stored in .vob
files but in addition, in order to be seen as a playable DVD, you need several support files (for menus, special features, chapter screens, etc.) and there is a specific file/folder structure that must be followed.
So your first attempt to put the .mp4 files onto the disc won't make a disc that can play in a DVD player because they are HD MPEG-4 video files not understood by a DVD player which only understands SD MPEG-2 video files. However, if you had a Blu-ray player,
another PC or a game console that understands MPEG-4 video, you could actually play that video there and it would have been in HD format to boot.
Your second attempt was to reduce the resolution and transcode the video to a .vob file. But again without following the correct folder structure with the requisite support files, the DVD player won't understand what is there.
Personally I would stick with playing the disc on a Blu-ray player to enjoy the HD resolution. Barring that, you'll want to look for software that actual is designed not just for file conversion, but can actually
author a video DVD in the correct format.