If the soft pull shows your minimum payments due on all your current open and active credit cards has increased it's likely (and possible) that they may change your #s that are calculating in your current DTI to ensure your DTI is still at an Accept/Eligible level for the Automated Underwriting System.
not likely, no.
Naturally, a lender can deny a loan for a multitude of reasons as long as they remain in compliance with all federal laws and what not, but in my opinion you're not likely to see that occur here in this instance.
Banks like to make money and they make money when the lend money so more often than not, they're going to proceed when they are able.
I don't think you should worry.