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From a legal and technical standpoint, yes, your roommate can file a police report and if you are in violation of the local noise ordinance, you could be cited. But I highly doubt the police would cite you. If your roommate called the police, the police would likely talk to you both and ask you to work together and come to a solution. The police would also likely think your roommate is being unreasonable, so as long as you seem reasonable and rational, you should be fine. So, the bot***** *****ne is yes, anyone can file a police report. But the odds are 99% that the police will not take this noise complaint seriously and will just tell you guys to work this out.
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That would depend on what your lease says. But most leases do allow for eviction of tenants who are being loud and/or unruly. But from what you are saying, it sounds like you are not being loud, but just accused of being loud and if that is the case you cannot be evicted. You are going to need to work out this conflict with your roommate, because your landlord will grow tired of it if it results in police calls, etc and then you could have problems.
No, that will not get you evicted. And if your landlord is concerned about the accusations just make sure the landlord understands the situation.