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will this BK or appeal help me in this situation to hold the judgement
No, not since the judgment has already been entered. If you had filed before judgment was entered, it would have stayed any eviction.
An appeal would help if the judge agrees to set aside any default judgment and rehear the case. So if you have a good reason, the judge may vacate the judgment and then re-docket the case. If he did so, and then you filed BK, that would stop any eviction for a couple months until the landlord got the BK court to lift the stay so he could evict.
So your best bet here is to immediately file an appeal and request for a stay of execution and ask the judge to vacate the judgment and reset the case for a new hearing, which will likely take a week or so.