Can the property owner evict me for no cause after I make a payment?

You have not specified the basis for your tenancy, but we will presume that it is a month to month tenancy. The Landlord's Notices are not entirely correct in form. In a month to month tenancy, the Landlord must provide you with thirty (30) calendar days after service of the notice to vacate and leave the rental unit where the tenancy is not week to week. NRS 40.251(1)(a)(2).  There is an exception if a tenant is 60 years of age or older or has a physical or mental disability, the tenant may request to be allowed to continue in possession for an additional 30 days [or 60 days total] by submitting a written request for an extended period and providing proof of the tenant's age or disability.   The 5-Day Notice that you indicate was served simultaneously is actually to be served at the end of the 30 day period pursuant to NRS 40.254 and is premature at this time.  At the end of the 30 day period (for example February 1, 2014 if you were served at the outset of January 2014) you would be responsible to have vacated the Subject Property.  If you have not vacated the Subject Property, then the Landlord could serve the 5-Day Notice pursuant to NRS 40.254 and seek summary eviction thereafter.