Yes, if no judgments related to the credit cards were filed within the allowed time, then you should be fine. That's not to say that some scum bag collection agency won't try to sue you, but if it did, all you should have to do is file a motion to dismiss based on the statute of limitations, and the case should be dismissed.
As for the mortgages, they're considered negotiable instruments, and would be governed by the 6 year statute of limitations under the Uniform Commercial Code (http://www.law.cornell.edu/ucc/3/3-118). Again, if 6 years have passed, you should be in the clear.
As for the judgment, as long as it was not against you personally, your personal assets can't be seized or taken to satisfy it.
I'm not sure what an online credit requires in order to obtain one. I would assume that you'd just need your name, SSN and a credit card to pay. But, you'd just have to go to one of their sites and check on what is required. I'm sorry that I don't know about this.
If you need anything else, let me know.