Can I [X]
Experiment! If it hasnt been tried, report back and wed love to hear the result. The only thing to keep in mind are the specific donts.
Juice: so long as it doesnt have yeast inhibiting preservatives, go for it
Yeast: try it. Most commonly used yeasts have been tried with no particular drawbacks... certain ones may be preferred, but its pretty forgiving. Most yeasts wont be stressed to the point of producing off flavors below 10% alcohol, where this apfelwein sits.
Sugar: as long as its fermentable, try it. Most sugars wont impart a different flavor, though dextrose is particularly chosen to be neutral.
Fermentation Vessel: This recipe isnt particularly susceptible to light or oxidation during fermentation. Glass is great, #1 plastic is the preferred plastic, so look at the recycle symbol (the particular consideration is chemical leaching).
Carbonation: Experiment. Some people like it flat, some people like it a little carbed, some people like it effervescent. Split your first batch and see what you prefer.
Bottles: The only consideration is whether its carbed or not. If carbed, champagne or beer bottles are required (including plastic beer bottles), if still, regular wine bottles will work too. You can use the bottles the juice came in if they meet the same criteria of the fermentation vessel (glass or #1 plastic).