Yes, on the I-130, you would put your address.
You are fling concurrently the I-130 and I-485, so you would be ok checking that box.
You should attach a copy of the I-94.
If she is over 79, the fee is $930, not $940, and yes, you can pay with personal check, but I prefer money order.
(c)(9) is correct for the I-765.
If you mean question #8 on the I-864, yes, you click YES.
You should file your 2007 tax return, if, submit 2006 and add evidence of your extension for the 2007 taxes.
Class of admission speaks about how she is coming or has come into the U.S., B-1, B-2, or whatever.
For Part 4, this should be fine.