Hey!!
I am not sure of what I may say here because I am not a lawyer, but a few things seem a little weird here.
First of all I mailed all my stuff before the fee increase it cost me a total of $765 (without the I-131)
You filed in august which is after the fee increase, and say you only paid $1365. That's impossible because the new fee for I-485 is $1010 (plus the biometric fee) and the fee for the I-130 is $355. Those two alone are $1365.
What about the fees for I-765 and I-131? Do you not pay for them anymore?
I do not think they process your stuff when the money isn't good so you will either get the things returned or best case scenario get an RFE/RFI.
Now answers to your questions:
1) Check the board and you will see that people's timelines around this backlog period show that we have waited a month or more to get our checks cashed.
2) Check previous posts and see for peoples timelines, usually in signatures at the bottom. You can check mine.
3) I-693 is initial evidence so that could be one of the reasons. From what I heard and read, since its initial evidence and not additional evidence, your application may only begin the processing time only when they get it. Check out:
https://egov.uscis.gov/cris/jsps/officeProcesstimes.jsp?selectedOffice=16
4) Once again check out different timelines. From what I see it usually takes just a little under 3 months. Uscis.gov says 11 weeks at:
https://egov.uscis.gov/cris/jsps/officeProcesstimes.jsp?selectedOffice=16
But that is considering you sent everything complete.
Hope all this has helped. You should really check about the fee. Because I beleive the I-765 and I-131 are over $300 each, which seems to be missing in the check you wrote. No need in sending additional check though until they write to you requesting for it, because you don't have an alien registration number nor a case number, and are not in the system, so they won't be able to link your check to your case.