Have a contract on our home -- question about appraisal

Waiting on the appraisal to come back ... Purchase agreement was for $165k with US paying $5k in closing costs. Should the appraisal come back lower say by $5k or more (which our realtor who also does appraisals told us he thinks it might), is it fair to renegotiate WITHOUT the closing costs? (He said that he suggested the listing price as he didn't want to leave any money on the table ... we agreed and had an offer in 2 weeks in a little town where it seems homes sit for a while).


And not not that this matters but people keep asking us who is buying our house. We were told it was a couple with 3 kids ... but ALL paperwork lists on a gentleman's name.

When a couple purchases a home, are both names required to be on it? We know that they've been pre-approved for a loan. But maybe it's just in his name as her credit was crap?

Again, not that it matters -- we're buying our 3rd home and we have always had to BOTH sign everything.