But whether you prevail in court or not, if you try to go through with that the whole thing is probably going to lose you a lot of time and cause you a shitton of stress, all at the whim of an arbitrary decision made by a company with, relatively speaking, no skin in the game. The power differential is immense. Realistically there's no legal recourse that can ward off the damage to your life that getting into that kind of one-sided slapfight could cause.
Without judgements, this bullshit will continue.
If PayPal closed his account because it was created before he was 18, did they do so because they believe that he didn't have capacity when he signed up? If that is the case then it makes you wonder if any of the TOS apply
[0] http://www.citizenvox.org/2012/10/15/opt-out-of-paypal%E2%80...
Edited for minor formatting.
Here are some citations:
"American Express Co., et al. v. Italian Colors Restaurant." Oyez, https://www.oyez.org/cases/2012/12-133. Accessed 29 Apr. 2017.
"AT&T Mobility LLC v. Concepcion." Oyez, https://www.oyez.org/cases/2010/09-893. Accessed 29 Apr. 2017.
"The End of Class Actions?" Arizona Law Review, http://arizonalawreview.org/fitzpatrick/
Gilles, Myriam and Friedman, Gary (2012) "After Class: Aggregate Litigation in the Wake of "AT&T Mobility v Concepcion"," University of Chicago Law Review: Vol. 79 : Iss. 2 , Article 3. Available at: http://chicagounbound.uchicago.edu/uclrev/vol79/iss2/3
Edited to add the third and fourth citations.
In most countries, arbitration clauses are prohibited in B2C contracts. You can't prohibit consumer from suing you.