I am a Facial Plastic Surgeon and I have never heard of this.The product goes on the scalp/hair etc...Skin will age regardless. (Sun exposure/Smoking/Improper Skin Care)
Whilst the symptoms you have described could be due to the use of minoxidil they could also just have been coincidental. I suggest you wait a few days and try using it again. If the symptoms occur again then they are more likely to be related. You can then decide whether to persevere with using...
You need to have an examination by a hair specialist to give you any recommendation. You did not state if you were a man or woman or anything about you so it is impossible to recommend anything for you or tell you what will or will not work. See a good hair specialist.