What are the chances of having extrusion on the nose tip?

Your nose is large, but it is also unbalanced: the bridge is too low relative to the size of the lower nose, which makes the tip look even longer.  A successful rhinoplasty must address both problems.  I would shorten your nose slightly, reduce the lower dorsum, reshape the tip, and...

Hello.  A septal perforation is potentially amenable to surgical repair.  Factors include size and location of the perforation. Options include a closed approach (surgery performed entirely within the nose) or open approach (involves elevation of the soft tissue envelope of the nose)....

  The photographs demonstrate an already upturned tip, so lifting the nostrils will only lift the tip even more and give more nostril show. Lifting the nostrils are only used for patients with a down turned tip. For many examples of lifting the nostrils for a downturned tip, please see the...

The nose is very sensitive after surgery. Just touching the nose too roughly may make it feel like it has rebroken. If you have any concerns you should always call your surgeon. If your nose looks the same as before you hit it then you are most likely fine. 

No, there should be no damage to your nose as long as you don't hit your nasal bone in the process of putting your hair up.

It sounds like this is a very vascular lesion that is likely benign. Either way, you should seek consultation with a plastic surgeon or ENT and have it removed so that you can be sure of the diagnosis and be rid of this problem once and for all.