If they haven't forwarded their mail, keep the envelope unopened when it is returned to you as proof that you sent it.

Any solution for minor sound proofing fixes that may be able to work?

Also something I am wondering is would I need to provide proof of employment in the state I’m trying to move into?

Hi Geoffrey, there is a tiny chance they will agree to postpone but you need to contact the lender immediately (bank in this case) and provide the evidence that you are a serious buyer (this can include a signed purchase agreement and proof of funds).

If not, how can I go about obtaining something like that or can I even obtain a soft proof of funds letter?

But I would be much closer to run unless you can get exact specifics on when the issues will be addressed and see proof it's being done.

A landlord could be kicked out of the program for good if HUD has proof to do so and they take it serious.  

When paid in cash also obtain some kind of proof of payment. 

Now I have a question regarding when I can use my college degree and job as "proof of two years work" rule: when can i show consistent paystubs where i can be considered for a mortgage loan?

When you present your offer, include proof of funds and a resume of real estate owned to show you're a serious buyer.