Once you get Botox, will it make your wrinkles worse if you don't keep going once it wears off?

There is no research indicating that Botox makes your wrinkles look worse. You can check this out for yourself by viewing your photos taken of the treated area before your treatment, then comparing them to photos taken once the Botox wears off.

No, your wrinkles will simply return to their pre-treatment state. They won't look any worse, but you may find that they do because you'd be amazed at how quickly you can get used to your Botox results! 

Botox can be preventative. For example, if an individual frequently frowns, the Botox can decrease the frowning, thus decreasing the lines that will appear in the future.
Once the Botox and/or filler wears off, you will not look any different than if you never had the injections. They only mask the effects of aging. Botox will last an average of 3 months, and fillers generally last 6 months on average - sometimes longer depending on the patient. Getting Botox in one area will not create wrinkles in another area. From here, I would recommend doing your homework, and choosing a physician with a great deal of experience. This will ensure you are able to obtain the best possible result from the treatment. Thank you, and I wish you the best of luck!