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FHA lenders typically require 620 minimum mid score. You didn't post your scores though so not sure what you mean by "poor" scores. The amount of your collections if they are many and/or high amounts could be a problem even if they're old. We could give you more advice about your situation if you post more detail like income, debt amounts, collections, purchase price, location, current scores, etc.
Honestly, you can not qualify right now. I am not sure 1400 month would qualify in any case as there may be some minimal income requirements (for example, most car loans require a minimum of 1800 per month income to even apply).
That said, at 1400 per month, standard DTI formulas would leave you 600 per month for debts and you are alrady carrying $335.
There is no way you are going to qaulify on your own for a mortgage on top of that.