vatsagrawal:
1. Can mentioning my tattoos in essays hinder my MBA application?
A: No, but how would having tattoos in your essays be the right move? Is there some deeper story behind why you have such tattoos? Did you get them becuase of a personal moment? I think tattoos can be powerful or a non-factor (unlikely to be negative), depending on how you decide to mention them. I would need to see how they're mentioned. This is more of an 'art' than a 'science' case.
2. Can having tattoos hinder my admission in any way?
A: No, unless the tattoos are truly offensive in some very obvious way. I'm thinking something racist, misogynistic, anti-semitic, etc. My strong suspicion based on the nature of your posting is that that is not the case!
I wouldn't worry at all. You should be fine, but please reach back out with more specifics if you want additional clarity.