I may be missing something...it doesn't appear that the signing company asked YOU to back-date anything, just don't change the lender dates, right??

AND, they even had you change the dates on the RTC to allow for the 3-day period.  So what's your issue??  Lenders often use docs that aren't "date-sensitive", and borrower dates the day they sign.  I've been a signing agent for 7 years--and worked for lenders prior--and eveything about the request seems normal (from your post, anyway)