No, there is no way to remove it. Often, these marks will fade with time and ultimately may disappear.
Not without affecting the ink on the reverse. The red ink of the serial is also very prone to chemical alterations. It's not worth the effort to try.
The "pen" markings typically become completely transparent and disappear within 24-72 hours. That is a good find you have there as these aren't usually found in circulation in such nice and crisp condition.
My experience with notes like this is it takes a lot longer than 3 days for the marks to disappear. I have seen marks like this last for years.
There are many people in retail who have very little knowledge about US currency (probably most people in retail). Any bill that doesn't look like today's money appears fake and needs to be checked for them to believe it's real. Not that those pens are THAT accurate anyway.
i spent a 2009 2 at mcdonalds and the cashier started scribbling all over it with the pen like she was determined to prove it was counterfeit.(she then called over the manager, a few other cashiers, and even a customer to see if they knew whether it was real or not!)
okay, now again for dummies please, how should the yellow line appear on a cf compared to a genuine bill? different color?
Counterfeits or anything with starch appears black. Just because it comes up Brown doesn't mean it is real. See this awesome article that demonstrates how coffee filters are legitimate currency. http://calladus.blogspot.com/2006/09/testing-counterfeit-money-detector-pen.html
The casino I work at swears by these counterfeit pens. I tried telling the managers they're pretty much useless. I never use them. I can usually spot a fake note, no problem.
Counterfeiters prefer to pass their notes to tellers that use these pens. By relying on these pens the tellers can relieve themselves of fault if they accept a fake note by saying "the pen said it was good." They don't tend to check other security features if the pen says it is good.