A Petition for Legal Separation is where you file with the Court for a Legal Separation and ask that they grant your request. The Decree is the Court Order at the end of the case. This can either be by agreement or a judicial determination. If it is by Agreement, then the settlement agreement can be referenced as an attachment to the Consent Decree of Legal Separation. It is also possible to make a post-nuptial agreement without filing. As to what the program is actually requesting, you might want to request documentation from them in writing so you can determine your next step.
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Keep in mind that Legal Separation is the same as Dissolution in terms of dividing all community assets, confirming sole and separate assets, establishing spousal maintenance, parenting time and child support. The main difference is that with a Decree of Legal Separation you cannot remarry.
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