Again, sorry to hear this has been happening. As far as the recording goes, unfortunately yes it's legal for your neighbor to record the outside exposure of your house, because it's an area that's visible to the public, and under the law it therefore is entitled to a lower privacy level because of its exposure to public view.
It sounds to me though that you may be the victim of harassment, especially if your neighbor is repeatedly making false reports against you, with no validity. Iowa harassment laws state that someone is guilty of harassment if that person:
"(4) Reports or causes to be reported false information to a law enforcement authority implicating another in some criminal activity, knowing that the information is false, or reports the alleged occurrence of a criminal act, knowing the act did not occur."
You can view the full harassment statute here at: https://coolice.legis.iowa.gov/cool-ice/default.asp?category=billinfo&service=iowacode&ga=83&input=708.7
My recommendation is to either let your neighbor know that you will be forced to take action against them for harassment if they don't stop their pattern of behavior (and hopefully this will deter them from continuing to harass you), or you can go into your local police department and file a report for harassment, listing all of the past incidents with this neighbor knowingly making false reports against you.
In the event that the police do not follow through with filing the report and taking action on your behalf (which hopefully they will), I want you to know you always have the option to go in to your local district attorney's office, request to speak with a criminal prosecutor, and let them know what's been going on. The prosecutor is actually the person in whose hands your case would end up with anyway after a police report is filed, so you can in fact go directly to them.
Also, once your case for harassment is heard, your neighbor should also be ordered to remove those cameras. Yes, it's legal for them to have the cameras up, but if it's shown to be closely linked and part of an overall case of harassment, they should be ordered removed.
I hope that helps! Please let me know if you have any other questions. Also, please take a moment to rate me using the stars as this is the only way experts are compensated for our time here on 'just answer'. It doesn't cost you anything to rate me, and we can still continue our conversation for free after. Thanks!