Allen would need to re-sign the forms
In sentence 1, the word resign means to quit or give up your position. This word does not use a hyphen. In sentence 3 and 4 recover means to get or come back. In sentence 3, Bridget will get back the flyer, and in sentence 4 her body will also come back from whatever illness or injury it sustained. Sentence 2 uses the prefix re to show that Allen needs to sign the forms again.
