Yes it means to withdraw the offer.

Yes. Some context would make it possible to check. . Searching just now, I got pull the offer - a little figurative pull the offer off the table pull the offer out of the bin pull the offer away entirely . pull the offer together - which means create, develop, produce the offer

Yes, and if you're a fan of phrasal verbs, you could say "pull back the offer."

Yes, although to "pull the offer" is a bit more casual.

Yes