I have an I Pad 2, purchased July 2011.
Does it make any sense to see it can be repaired?
Probably not at this point, I'd say its time to bite the bullet and get a new one.
I can't even imagine running a 2, it's got to be leggy and all the missing features.... You should upgrade. Life is short, especially the life of a 2 running iOS 8, that has to be a nightmare of an experience.
It really is I have the iPad mini and it is SOOOO laggy like I type a whole sentence and it pops up a few seconds later....Even scrolling through the settings will slow you down I still like it AND use it daily but as soon as it can't support the latest its gone period.Im thinking about an air this time since the iPhone 6 Plus kinda fills in that small tablet gap.