Hi, i guess thats all but you should prepare your second "Backup" Jenkins for a situation like that. This means, if your Jobs are working or connected with any Plugin this should also be installed on your Linux Jenkins. But im sure, you already have written this on your "safty-list".
Just for the worst case, maybe have a thought about "Backup-Jenkins-Plugin" or ThinBackup or something like that. If you just copy all files from your old job, and put it in your new Job, it will be fine. Make sure you do a reload, or maybe restart, jenkins will detect the files in your job Folder and information like the configuration and old builds will also be there for you. Greetings