None of them are grammatically correct because none of them are complete thoughts let alone sentences.
All three try to specify the particular monkey by enumerating that it can see your ears but do no more.
Take away the description of the monkeys ability to see your ears and what you’re left with is “the monkey”.
“The monkey” isn’t a sentence.
If you are the subject and what’s happening is that you’re wondering if the monkey can see your ears then the sentence you want is “I’m wondering if the monkey can see my ears.”
If, as I suspect, you’re using “the monkey whose ability to see my ears I’m wondering about” as the subject of some larger more complex and cool sentence then you gotta lay out that part before someone can give solid grammatical advice.
First things first: put real feet on your couch so you’re not doing more damage.
The broader the better.
Some people already talked about ironing and it can make a difference but you gotta get down to the wood surface with sandpaper, learn how to iron wood then successfully actually do it.
Dents as big as these would require multiple passes with the iron over time.
Your real best bet would be to call a handyman or more likely a flooring place and have them give you an estimate on repair. They’ll be able to tell you if you have some kind of tongue in groove, roll or actual hardwood floor and explain what your options are. You’ll also know how much you’re gonna be paying to get whatever the landlord is holding back from them.
If you do call someone out there, find out what they charge for an estimate and pay them more on top of it in cash. People hate giving estimates because it’s someone shopping around who’s gonna try to get them down to the lowest price and has no consideration for their expertise and experience. Being willing to pay in cash and then some cements you as a customer, not a looky-loo.