There is probably freeware but most of it would be linux based.
I believe the Nero burning software has the ability to edit video files. Search for Nero Ultimate. The latest version is 9.0. You can download a 14 day trial for free. It costs about $60 to buy it after the trial is up. If you get the file and set aside time, you might be able to do everything before the free trial period is up.
Nero Vision is the program that will allow you to at least cut your video. It will also allow you to capture stills.
If you rip the DVD to an ISO file then you can just burn that to make new DVDs.